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2131332330231 = 331349787121963
BaseRepresentation
bin11111000000111101010…
…011100111001011110111
321112202100012210111002000
4133000331103213023313
5234404432034031411
64311042012350343
7306661254615066
oct37007523471367
97482305714060
102131332330231
1175199059a385
122a5096a753b3
13125ca3483690
147522ac941dd
153a692cba956
hex1f03d4e72f7

2131332330231 has 32 divisors (see below), whose sum is σ = 3400512433920. Its totient is φ = 1311552028512.

The previous prime is 2131332330229. The next prime is 2131332330247. The reversal of 2131332330231 is 1320332331312.

2131332330231 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 323 + 302 + 31 = 666.

It is not a de Polignac number, because 2131332330231 - 21 = 2131332330229 is a prime.

It is a super-2 number, since 2×21313323302312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2131332330195 and 2131332330204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131332330271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17414256 + ... + 17536218.

It is an arithmetic number, because the mean of its divisors is an integer number (106266013560).

Almost surely, 22131332330231 is an apocalyptic number.

2131332330231 is a deficient number, since it is larger than the sum of its proper divisors (1269180103689).

2131332330231 is a wasteful number, since it uses less digits than its factorization.

2131332330231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171772 (or 171766 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2131332330231 its reverse (1320332331312), we get a palindrome (3451664661543).

The spelling of 2131332330231 in words is "two trillion, one hundred thirty-one billion, three hundred thirty-two million, three hundred thirty thousand, two hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 351 49787 121963 149361 365889 448083 647231 1097667 1344249 1585519 1941693 3293001 4756557 5825079 14269671 17475237 42809013 6072171881 18216515643 54649546929 78938234453 163948640787 236814703359 710444110077 2131332330231