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202023313133131 = 7359151281235273
BaseRepresentation
bin101101111011110100110111…
…110100001100111001001011
3222111022020111001020210000201
4231323310313310030321023
5202434422221130230011
61553400121231513031
760360463013221000
oct5573646764147113
9874266431223021
10202023313133131
1159409673588106
121a7a957a988777
13889594172ab89
1437c5da27d38a7
151855153ad1cc1
hexb7bd37d0ce4b

202023313133131 has 64 divisors (see below), whose sum is σ = 242034833664000. Its totient is φ = 168498042048000.

The previous prime is 202023313133129. The next prime is 202023313133149. The reversal of 202023313133131 is 131331313320202.

It is a happy number.

It is not a de Polignac number, because 202023313133131 - 21 = 202023313133129 is a prime.

It is a super-2 number, since 2×2020233131331312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202023313133131.

It is not an unprimeable number, because it can be changed into a prime (202023313133111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 858558511 + ... + 858793783.

It is an arithmetic number, because the mean of its divisors is an integer number (3781794276000).

Almost surely, 2202023313133131 is an apocalyptic number.

202023313133131 is a deficient number, since it is larger than the sum of its proper divisors (40011520530869).

202023313133131 is a wasteful number, since it uses less digits than its factorization.

202023313133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235785 (or 235771 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 202023313133131 its reverse (131331313320202), we get a palindrome (333354626453333).

The spelling of 202023313133131 in words is "two hundred two trillion, twenty-three billion, three hundred thirteen million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 7 49 59 151 281 343 413 1057 1967 2891 7399 8909 13769 16579 20237 42431 51793 62363 96383 116053 235273 297017 436541 812371 1646911 2079119 2503429 3055787 5686597 11528377 13881107 14553833 17524003 35526223 66111713 80698639 97167749 122668021 248683561 462781991 680174243 858676147 1740784927 2096047157 3239473937 3900591067 4761219701 9982868663 12185494489 14672330099 22676317559 27304137469 69880080641 102706310693 191128962283 489160564487 588989251117 718944174851 1337902735981 3424123951409 4122924757819 28860473304733 202023313133131