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231311133001 = 13211312112433
BaseRepresentation
bin1101011101101100110…
…1111100100101001001
3211010001110201001020001
43113123031330211021
512242211122224001
6254132440203001
722466051122024
oct3273315744511
9733043631201
10231311133001
118a10a116923
12389b5769461
1318a74219700
14b2a47081bb
15603c23c001
hex35db37c949

231311133001 has 12 divisors (see below), whose sum is σ = 252689598108. Its totient is φ = 211628411904.

The previous prime is 231311132999. The next prime is 231311133019. The reversal of 231311133001 is 100331113132.

It can be written as a sum of positive squares in 6 ways, for example, as 45657005625 + 185654127376 = 213675^2 + 430876^2 .

It is not a de Polignac number, because 231311133001 - 21 = 231311132999 is a prime.

It is a super-2 number, since 2×2313111330012 (a number of 24 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 231311133001.

It is not an unprimeable number, because it can be changed into a prime (231311133071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6037120 + ... + 6075313.

It is an arithmetic number, because the mean of its divisors is an integer number (21057466509).

Almost surely, 2231311133001 is an apocalyptic number.

It is an amenable number.

231311133001 is a deficient number, since it is larger than the sum of its proper divisors (21378465107).

231311133001 is a wasteful number, since it uses less digits than its factorization.

231311133001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12112572 (or 12112559 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 231311133001 its reverse (100331113132), we get a palindrome (331642246133).

The spelling of 231311133001 in words is "two hundred thirty-one billion, three hundred eleven million, one hundred thirty-three thousand, one".

Divisors: 1 13 113 169 1469 19097 12112433 157461629 1368704929 2047001177 17793164077 231311133001