Search a number
-
+
11120200221120 = 263523414948117
BaseRepresentation
bin1010000111010001111110…
…0101011000000111000000
31110101002011212120120112220
42201310133211120013000
52424143132224033440
635352314403251040
72225256633203634
oct241643745300700
943332155516486
1011120200221120
1135a8061138131
1212b7204679a80
13628826c42253
142a631331adc4
151443de00e8d0
hexa1d1f9581c0

11120200221120 has 112 divisors (see below), whose sum is σ = 35321724701088. Its totient is φ = 2964119408640.

The previous prime is 11120200221113. The next prime is 11120200221139. The reversal of 11120200221120 is 2112200202111.

It is a super-3 number, since 3×111202002211203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11120200221120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226699 + ... + 4721418.

It is an arithmetic number, because the mean of its divisors is an integer number (315372541974).

Almost surely, 211120200221120 is an apocalyptic number.

11120200221120 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 11120200221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660862350544).

11120200221120 is an abundant number, since it is smaller than the sum of its proper divisors (24201524479968).

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

11120200221120 is a wasteful number, since it uses less digits than its factorization.

11120200221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950478 (or 4950468 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11120200221120 its reverse (2112200202111), we get a palindrome (13232400423231).

The spelling of 11120200221120 in words is "eleven trillion, one hundred twenty billion, two hundred million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2341 4682 7023 9364 11705 14046 18728 23410 28092 35115 37456 46820 56184 70230 74912 93640 112368 140460 149824 187280 224736 280920 374560 449472 561840 749120 1123680 2247360 4948117 9896234 14844351 19792468 24740585 29688702 39584936 49481170 59377404 74221755 79169872 98962340 118754808 148443510 158339744 197924680 237509616 296887020 316679488 395849360 475019232 593774040 791698720 950038464 1187548080 1583397440 2375096160 4750192320 11583541897 23167083794 34750625691 46334167588 57917709485 69501251382 92668335176 115835418970 139002502764 173753128455 185336670352 231670837940 278005005528 347506256910 370673340704 463341675880 556010011056 695012513820 741346681408 926683351760 1112020022112 1390025027640 1853366703520 2224040044224 2780050055280 3706733407040 5560100110560 11120200221120