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11011021211120 = 2457199383257981
BaseRepresentation
bin1010000000111011010000…
…0000100000010111110000
31102222122101000000012201212
42200032310000200113300
52420401032412223440
635230220542215252
72214343241011220
oct240166400402760
942878330005655
1011011021211120
113565825464a57
12129a014884528
1361b447867158
142a0d171a8080
1514164e038465
hexa03b40205f0

11011021211120 has 160 divisors (see below), whose sum is σ = 29481770188800. Its totient is φ = 3746414453760.

The previous prime is 11011021211119. The next prime is 11011021211129. The reversal of 11011021211120 is 2111212011011.

It is a super-2 number, since 2×110110212111202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11011021211095 and 11011021211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011021211129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42552530 + ... + 42810510.

It is an arithmetic number, because the mean of its divisors is an integer number (184261063680).

Almost surely, 211011021211120 is an apocalyptic number.

11011021211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011021211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740885094400).

11011021211120 is an abundant number, since it is smaller than the sum of its proper divisors (18470748977680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11011021211120 is a wasteful number, since it uses less digits than its factorization.

11011021211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258583 (or 258577 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11011021211120 its reverse (2111212011011), we get a palindrome (13122233222131).

The spelling of 11011021211120 in words is "eleven trillion, eleven billion, twenty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 199 280 383 398 560 766 796 995 1393 1532 1592 1915 1990 2681 2786 3064 3184 3830 3980 5362 5572 6128 6965 7660 7960 10724 11144 13405 13930 15320 15920 21448 22288 26810 27860 30640 42896 53620 55720 76217 107240 111440 152434 214480 257981 304868 381085 515962 533519 609736 762170 1031924 1067038 1219472 1289905 1524340 1805867 2063848 2134076 2579810 2667595 3048680 3611734 4127696 4268152 5159620 5335190 6097360 7223468 8536304 9029335 10319240 10670380 14446936 18058670 20638480 21340760 28893872 36117340 42681520 51338219 72234680 98806723 102676438 144469360 197613446 205352876 256691095 359367533 395226892 410705752 494033615 513382190 691647061 718735066 790453784 821411504 988067230 1026764380 1383294122 1437470132 1580907568 1796837665 1976134460 2053528760 2766588244 2874940264 3458235305 3593675330 3952268920 4107057520 5533176488 5749880528 6916470610 7187350660 7904537840 11066352976 13832941220 14374701320 19662537877 27665882440 28749402640 39325075754 55331764880 78650151508 98312689385 137637765139 157300303016 196625378770 275275530278 314600606032 393250757540 550551060556 688188825695 786501515080 1101102121112 1376377651390 1573003030160 2202204242224 2752755302780 5505510605560 11011021211120