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202331433214131 = 313232632413735533
BaseRepresentation
bin101110000000010011110101…
…001101000010000010110011
3222112101200210110112122211120
4232000103311031002002303
5203004444233400323011
61554153435514313323
760421651350543024
oct5600236515020263
9875350713478746
10202331433214131
1159518308309451
121a83922b728843
1388b8a06924630
1437d6c7213ac4b
15185d1890aaa06
hexb804f53420b3

202331433214131 has 64 divisors (see below), whose sum is σ = 304332670236672. Its totient is φ = 118637002294272.

The previous prime is 202331433214109. The next prime is 202331433214147. The reversal of 202331433214131 is 131412334133202.

It is not a de Polignac number, because 202331433214131 - 218 = 202331432951987 is a prime.

It is a super-2 number, since 2×2023314332141312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202331433214092 and 202331433214101.

It is not an unprimeable number, because it can be changed into a prime (202331433224131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5694166041 + ... + 5694201573.

It is an arithmetic number, because the mean of its divisors is an integer number (4755197972448).

Almost surely, 2202331433214131 is an apocalyptic number.

202331433214131 is a deficient number, since it is larger than the sum of its proper divisors (102001237022541).

202331433214131 is a wasteful number, since it uses less digits than its factorization.

202331433214131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59972.

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 202331433214131 its reverse (131412334133202), we get a palindrome (333743767347333).

The spelling of 202331433214131 in words is "two hundred two trillion, three hundred thirty-one billion, four hundred thirty-three million, two hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 13 23 39 69 263 299 789 897 3419 6049 10257 18147 24137 35533 72411 78637 106599 235911 313781 461929 555151 817259 941343 1385787 1665453 2451777 6348031 7216963 9345179 10624367 19044093 21650889 28035537 31873101 82524403 121487327 146004713 214939117 247573209 364461981 438014139 644817351 857660021 1898061269 2572980063 2794208521 5694183807 8382625563 11149580273 19726180483 33448740819 59178541449 225564585523 256440346279 676693756569 769321038837 2932339611799 5187985467029 8797018835397 15563956401087 67443811071377 202331433214131