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230231312001 = 32171504779817
BaseRepresentation
bin1101011001101011011…
…0110000011010000001
3211000021012211110021200
43112122312300122001
512233003203441001
6253433344011413
722430226601605
oct3263266603201
9730235743250
10230231312001
1189705634379
1238754000b69
13189315b2782
14b20113d505
155ec7540086
hex359adb0681

230231312001 has 12 divisors (see below), whose sum is σ = 352118477412. Its totient is φ = 144458862336.

The previous prime is 230231311957. The next prime is 230231312009. The reversal of 230231312001 is 100213132032.

230231312001 is a `hidden beast` number, since 230 + 2 + 313 + 120 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 211687409025 + 18543902976 = 460095^2 + 136176^2 .

It is not a de Polignac number, because 230231312001 - 222 = 230227117697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230231312009) 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, 752389756 + ... + 752390061.

It is an arithmetic number, because the mean of its divisors is an integer number (29343206451).

Almost surely, 2230231312001 is an apocalyptic number.

It is an amenable number.

230231312001 is a deficient number, since it is larger than the sum of its proper divisors (121887165411).

230231312001 is a wasteful number, since it uses less digits than its factorization.

230231312001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504779840 (or 1504779837 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230231312001 its reverse (100213132032), we get a palindrome (330444444033).

The spelling of 230231312001 in words is "two hundred thirty billion, two hundred thirty-one million, three hundred twelve thousand, one".

Divisors: 1 3 9 17 51 153 1504779817 4514339451 13543018353 25581256889 76743770667 230231312001