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31302220313 = 713595830177
BaseRepresentation
bin11101001001110000…
…011111101000011001
32222210111122112211002
4131021300133220121
51003101332022223
622214031114345
72155461324350
oct351160375031
988714575732
1031302220313
1112303318471
1260970729b5
132c4b0c9870
14172d386997
15c33106e28
hex749c1fa19

31302220313 has 16 divisors (see below), whose sum is σ = 39178796160. Its totient is φ = 24346814976.

The previous prime is 31302220223. The next prime is 31302220319.

31302220313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31302220313 - 28 = 31302220057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31302220319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2909720 + ... + 2920457.

It is an arithmetic number, because the mean of its divisors is an integer number (2448674760).

Almost surely, 231302220313 is an apocalyptic number.

It is an amenable number.

31302220313 is a deficient number, since it is larger than the sum of its proper divisors (7876575847).

31302220313 is a wasteful number, since it uses less digits than its factorization.

31302220313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830256.

The product of its (nonzero) digits is 648, while the sum is 20.

The spelling of 31302220313 in words is "thirty-one billion, three hundred two million, two hundred twenty thousand, three hundred thirteen".

Divisors: 1 7 13 59 91 413 767 5369 5830177 40811239 75792301 343980443 530546107 2407863101 4471745759 31302220313