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311331320001 = 321319113931683
BaseRepresentation
bin1001000011111001100…
…10101111000011000001
31002202121012210201120200
410201330302233003001
520100101304220001
6355005034355413
731331036361612
oct4417462570301
91082535721520
10311331320001
11110042460779
125040828bb69
132348759baa0
14110d6019c09
158172397086
hex487ccaf0c1

311331320001 has 24 divisors (see below), whose sum is σ = 486828765696. Its totient is φ = 190585409760.

The previous prime is 311331319861. The next prime is 311331320009. The reversal of 311331320001 is 100023133113.

It is a happy number.

311331320001 is a `hidden beast` number, since 3 + 11 + 331 + 320 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 311331320001 - 230 = 310257578177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311331320009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6943495 + ... + 6988188.

It is an arithmetic number, because the mean of its divisors is an integer number (20284531904).

Almost surely, 2311331320001 is an apocalyptic number.

It is an amenable number.

311331320001 is a deficient number, since it is larger than the sum of its proper divisors (175497445695).

311331320001 is a wasteful number, since it uses less digits than its factorization.

311331320001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13931893 (or 13931890 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 311331320001 its reverse (100023133113), we get a palindrome (411354453114).

The spelling of 311331320001 in words is "three hundred eleven billion, three hundred thirty-one million, three hundred twenty thousand, one".

Divisors: 1 3 9 13 39 117 191 573 1719 2483 7449 22347 13931683 41795049 125385147 181111879 543335637 1630006911 2660951453 7982854359 23948563077 34592368889 103777106667 311331320001