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23133044033132 = 2211310165365881
BaseRepresentation
bin1010100001010000101001…
…10111110100011001101100
310000220111102121112221011112
411100220110313310121230
511013002433233030012
6121111101305011152
74605210252632345
oct520502467643154
9100814377487145
1023133044033132
11740973a309000
122717409783ab8
13cba58a5491a7
1459d906a090cc
152a1b247ce122
hex150a14df466c

23133044033132 has 96 divisors (see below), whose sum is σ = 45038488961088. Its totient is φ = 10394809920000.

The previous prime is 23133044033123. The next prime is 23133044033161.

23133044033132 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351100832 + ... + 351166712.

It is an arithmetic number, because the mean of its divisors is an integer number (469150926678).

Almost surely, 223133044033132 is an apocalyptic number.

23133044033132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23133044033132 is a deficient number, since it is larger than the sum of its proper divisors (21905444927956).

23133044033132 is a wasteful number, since it uses less digits than its factorization.

23133044033132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66672 (or 66648 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 2313304 and 4033132, that added together give a palindrome (6346436).

The spelling of 23133044033132 in words is "twenty-three trillion, one hundred thirty-three billion, forty-four million, thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 44 101 121 202 242 404 484 653 1111 1306 1331 2222 2612 2662 4444 5324 7183 12221 14366 24442 28732 48884 65881 65953 79013 131762 131906 134431 158026 263524 263812 268862 316052 537724 724691 725483 869143 1449382 1450966 1738286 2898764 2901932 3476572 6653981 7971601 7980313 13307962 15943202 15960626 26615924 31886404 31921252 43020293 73193791 86040586 87687611 87783443 146387582 172081172 175375222 175566886 292775164 350750444 351133772 473223223 805131701 946446446 1610263402 1892892892 3220526804 4345049593 5205455453 8690099186 8856448711 10410910906 17380198372 17712897422 20821821812 35425794844 47795545523 57260009983 95591091046 114520019966 191182182092 229040039932 525751000753 1051502001506 2103004003012 5783261008283 11566522016566 23133044033132