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23133111133132 = 227111329319718431
BaseRepresentation
bin1010100001010000110001…
…10111110010001111001100
310000220111121021210222001201
411100220120313302033030
511013003102422230012
6121111112103115244
74605212026160230
oct520503067621714
9100814537728051
1023133111133132
117409774179250
122717428142b24
13cba59b410a30
1459d9118b45c0
152a1b2a635857
hex150a18df23cc

23133111133132 has 96 divisors (see below), whose sum is σ = 54540236427264. Its totient is φ = 8291205446400.

The previous prime is 23133111133129. The next prime is 23133111133147.

It is a happy number.

23133111133132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 23133111133132.

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, 8686044 + ... + 11032387.

It is an arithmetic number, because the mean of its divisors is an integer number (568127462784).

Almost surely, 223133111133132 is an apocalyptic number.

23133111133132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23133111133132 is an abundant number, since it is smaller than the sum of its proper divisors (31407125294132).

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

23133111133132 is a wasteful number, since it uses less digits than its factorization.

23133111133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19718759 (or 19718757 counting only the distinct ones).

The product of its digits is 2916, while the sum is 28.

It can be divided in two parts, 2313311 and 1133132, that added together give a palindrome (3446443).

The spelling of 23133111133132 in words is "twenty-three trillion, one hundred thirty-three billion, one hundred eleven million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 293 308 364 572 586 1001 1172 2002 2051 3223 3809 4004 4102 6446 7618 8204 12892 15236 22561 26663 41899 45122 53326 83798 90244 106652 167596 293293 586586 1173172 19718431 39436862 78873724 138029017 216902741 256339603 276058034 433805482 512679206 552116068 867610964 1025358412 1518319187 1794377221 2819735633 3036638374 3588754442 5639471266 5777500283 6073276748 7177508884 11278942532 11555000566 19738149431 23110001132 39476298862 40442501981 63552503113 75107503679 78952597724 80885003962 127105006226 150215007358 161770007924 254210012452 300430014716 444867521791 525752525753 826182540469 889735043582 1051505051506 1652365080938 1779470087164 2103010103012 3304730161876 5783277783283 11566555566566 23133111133132