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13230422403231 = 3112678329322369
BaseRepresentation
bin1100000010000111001010…
…1000001010100010011111
31201211211000212220102110010
43000201302220022202133
53213231401113400411
644045545552214303
72533603125614505
oct300416250124237
951754025812403
1013230422403231
114240a99591800
12159818983a393
1374c814a26207
1433a4da6a8675
1517e2488717a6
hexc0872a0a89f

13230422403231 has 96 divisors (see below), whose sum is σ = 19985413835520. Its totient is φ = 7776612771840.

The previous prime is 13230422403221. The next prime is 13230422403251.

It is a happy number.

13230422403231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13230422403231 - 229 = 13229885532319 is a prime.

It is a super-2 number, since 2×132304224032312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13230422403221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 591451215 + ... + 591473583.

It is an arithmetic number, because the mean of its divisors is an integer number (208181394120).

Almost surely, 213230422403231 is an apocalyptic number.

13230422403231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13230422403231 is a deficient number, since it is larger than the sum of its proper divisors (6754991432289).

13230422403231 is a wasteful number, since it uses less digits than its factorization.

13230422403231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22837 (or 22826 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 1323042 and 2403231, that added together give a palindrome (3726273).

The spelling of 13230422403231 in words is "thirteen trillion, two hundred thirty billion, four hundred twenty-two million, four hundred three thousand, two hundred thirty-one".

Divisors: 1 3 11 33 67 83 121 201 249 293 363 737 879 913 2211 2739 3223 5561 8107 9669 10043 16683 19631 22369 24319 24321 30129 35453 58893 61171 67107 72957 106359 183513 215941 246059 267509 647823 672881 738177 802527 1498723 1629373 1856627 2018643 2375351 2706649 2942599 4496169 4888119 5569881 6554117 7126053 8119947 8827797 16485953 17923103 19662351 20422897 49457859 53769309 61268691 72095287 124394009 181345483 197154133 216285861 224651867 373182027 439125839 543991711 544036449 591462399 673955601 793048157 1317377517 1368334099 1631975133 2379144471 4105002297 4830384229 5983908821 14491152687 15051675089 17951726463 36447444637 45155025267 53134226519 65822997031 109342333911 159402679557 197468991093 400921891007 1202765673021 4410140801077 13230422403231