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11011000201232 = 2423227431521587
BaseRepresentation
bin1010000000111011001011…
…0000010111000000010000
31102222122022112110210120212
42200032302300113000100
52420401012022414412
635230214512023252
72214342564305003
oct240166260270020
942878275423525
1011011000201232
113565814614a09
12129a009831b28
1361b4433bc175
142a0d1449953a
1514164c288222
hexa03b2c17010

11011000201232 has 160 divisors (see below), whose sum is σ = 22492584382464. Its totient is φ = 5211833369600.

The previous prime is 11011000201231. The next prime is 11011000201283. The reversal of 11011000201232 is 23210200011011.

It is a super-2 number, since 2×110110002012322 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11011000201231) 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, 18758092043 + ... + 18758092629.

Almost surely, 211011000201232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011000201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11246292191232).

11011000201232 is an abundant number, since it is smaller than the sum of its proper divisors (11481584181232).

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

11011000201232 is a wasteful number, since it uses less digits than its factorization.

11011000201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11011000201232 its reverse (23210200011011), we get a palindrome (34221200212243).

The spelling of 11011000201232 in words is "eleven trillion, eleven billion, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 92 184 227 368 431 454 521 587 862 908 1042 1174 1724 1816 2084 2348 3448 3632 4168 4696 5221 6896 8336 9392 9913 10442 11983 13501 19826 20884 23966 27002 39652 41768 47932 54004 79304 83536 95864 97837 108008 118267 133249 158608 191728 195674 216016 224551 236534 252997 266498 305827 391348 449102 473068 505994 532996 611654 782696 898204 946136 1011988 1065992 1223308 1565392 1796408 1892272 2023976 2131984 2250251 2446616 2720141 3064727 3592816 4047952 4500502 4893232 5164673 5440282 5818931 6129454 7034021 9001004 10329346 10880564 11637862 12258908 14068042 18002008 20658692 21761128 23275724 24517816 28136084 36004016 41317384 43522256 46551448 49035632 50973077 56272168 57430319 69422729 82634768 93102896 101946154 112544336 114860638 131811437 138845458 203892308 229721276 263622874 277690916 407784616 459442552 527245748 555381832 815569232 918885104 1054491496 1110763664 1172380771 1320897337 1596722767 2108982992 2344761542 2641794674 3031663051 3193445534 4689523084 5283589348 6063326102 6386891068 9379046168 10567178696 12126652204 12773782136 18758092336 21134357392 24253304408 25547564272 29921196199 48506608816 59842392398 119684784796 239369569592 478739139184 688187512577 1376375025154 2752750050308 5505500100616 11011000201232