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23201133110232 = 23371117738513277
BaseRepresentation
bin1010100011001111011110…
…10011000010001111011000
310001011000011212011102121220
411101213233103002033120
511020111410034011412
6121202241534132040
74613140464350250
oct521475723021730
9101130155142556
1023201133110232
1174355aa874450
122728650651020
13cc3b1bb0731c
145a2d25912960
152a37ac27568c
hex1519ef4c23d8

23201133110232 has 128 divisors (see below), whose sum is σ = 76569056663040. Its totient is φ = 5671781959680.

The previous prime is 23201133110213. The next prime is 23201133110261.

23201133110232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369225223 + ... + 369288054.

It is an arithmetic number, because the mean of its divisors is an integer number (598195755180).

Almost surely, 223201133110232 is an apocalyptic number.

23201133110232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23201133110232 is an abundant number, since it is smaller than the sum of its proper divisors (53367923552808).

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

23201133110232 is a wasteful number, since it uses less digits than its factorization.

23201133110232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738513321 (or 738513317 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2320113 and 3110232, that added together give a palindrome (5430345).

The spelling of 23201133110232 in words is "twenty-three trillion, two hundred one billion, one hundred thirty-three million, one hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 132 136 154 168 187 204 231 238 264 308 357 374 408 462 476 561 616 714 748 924 952 1122 1309 1428 1496 1848 2244 2618 2856 3927 4488 5236 7854 10472 15708 31416 738513277 1477026554 2215539831 2954053108 4431079662 5169592939 5908106216 8123646047 8862159324 10339185878 12554725709 15508778817 16247292094 17724318648 20678371756 24370938141 25109451418 31017557634 32494584188 37664177127 41356743512 48741876282 50218902836 56865522329 62035115268 64989168376 75328354254 87883079963 97483752564 100437805672 113731044658 124070230536 138101982799 150656708508 170596566987 175766159926 194967505128 227462089316 263649239889 276203965598 301313417016 341193133974 351532319852 414305948397 454924178632 527298479778 552407931196 682386267948 703064639704 828611896794 966713879593 1054596959556 1104815862392 1364772535896 1657223793588 1933427759186 2109193919112 2900141638779 3314447587176 3866855518372 5800283277558 7733711036744 11600566555116 23201133110232