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23201232113202 = 231113251110397673
BaseRepresentation
bin1010100011001111101010…
…01100101100111000110010
310001011000102202110022011120
411101213311030230320302
511020112110410110302
6121202255432123110
74613143106020533
oct521476514547062
9101130382408146
1023201232113202
117435650744890
122728679836496
13cc3b3648c070
145a2d34b2468a
152a37b5cce9bc
hex1519f532ce32

23201232113202 has 128 divisors (see below), whose sum is σ = 54782155395072. Its totient is φ = 6458072640000.

The previous prime is 23201232113201. The next prime is 23201232113203. The reversal of 23201232113202 is 20231123210232.

It is an interprime number because it is at equal distance from previous prime (23201232113201) and next prime (23201232113203).

It is not an unprimeable number, because it can be changed into a prime (23201232113201) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 237491038 + ... + 237588710.

It is an arithmetic number, because the mean of its divisors is an integer number (427985589024).

Almost surely, 223201232113202 is an apocalyptic number.

23201232113202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23201232113202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27391077697536).

23201232113202 is an abundant number, since it is smaller than the sum of its proper divisors (31580923281870).

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

23201232113202 is a wasteful number, since it uses less digits than its factorization.

23201232113202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99056.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23201232113202 its reverse (20231123210232), we get a palindrome (43432355323434).

The spelling of 23201232113202 in words is "twenty-three trillion, two hundred one billion, two hundred thirty-two million, one hundred thirteen thousand, two hundred two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 251 286 429 502 753 858 1103 1506 2206 2761 3263 3309 5522 6526 6618 8283 9789 12133 14339 16566 19578 24266 28678 35893 36399 43017 71786 72798 86034 97673 107679 157729 195346 215358 276853 293019 315458 473187 553706 586038 830559 946374 1074403 1269749 1661118 2148806 2539498 3045383 3223209 3599089 3809247 6090766 6446418 7198178 7618494 9136149 10797267 13967239 18272298 21594534 24515923 27934478 39589979 41901717 49031846 73547769 79179958 83803434 107733319 118769937 147095538 215466638 237539874 269675153 318706999 323199957 539350306 637413998 646399914 809025459 956120997 1185066509 1400533147 1618050918 1912241994 2370133018 2801066294 3505776989 3555199527 4201599441 7011553978 7110399054 8403198882 10517330967 15405864617 21034661934 27041063069 30811729234 46217593851 54082126138 81123189207 92435187702 162246378414 297451693759 351533819897 594903387518 703067639794 892355081277 1054601459691 1784710162554 2109202919382 3866872018867 7733744037734 11600616056601 23201232113202