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31202100013 = 722319988533
BaseRepresentation
bin11101000011110010…
…100100001100101101
32222112112020220120211
4131003302210030231
51002400214200023
622200053142421
72153134321420
oct350362441455
988475226524
1031202100013
1112261854617
12606962aa11
132c33443396
14171dd639b7
15c2942ba0d
hex743ca432d

31202100013 has 8 divisors (see below), whose sum is σ = 35819452928. Its totient is φ = 26624724624.

The previous prime is 31202099969. The next prime is 31202100031. The reversal of 31202100013 is 31000120213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31202100013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31202099966 and 31202100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31202100113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9992706 + ... + 9995827.

It is an arithmetic number, because the mean of its divisors is an integer number (4477431616).

Almost surely, 231202100013 is an apocalyptic number.

It is an amenable number.

31202100013 is a deficient number, since it is larger than the sum of its proper divisors (4617352915).

31202100013 is a wasteful number, since it uses less digits than its factorization.

31202100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19988763.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 31202100013 its reverse (31000120213), we get a palindrome (62202220226).

The spelling of 31202100013 in words is "thirty-one billion, two hundred two million, one hundred thousand, thirteen".

Divisors: 1 7 223 1561 19988533 139919731 4457442859 31202100013