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310316613013 = 113167891011511
BaseRepresentation
bin1001000010000000100…
…11111011110110010101
31002122222111110021021101
410201000103323312111
520041012023104023
6354320225550101
731263635455321
oct4410023736625
91078874407241
10310316613013
1110a671702360
12501844a5331
13233552b2754
141103b360981
15811325d1ad
hex48404fbd95

310316613013 has 64 divisors (see below), whose sum is σ = 362438737920. Its totient is φ = 263102400000.

The previous prime is 310316613001. The next prime is 310316613031.

310316613013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310316613013 - 213 = 310316604821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310316613073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205370928 + ... + 205372438.

It is an arithmetic number, because the mean of its divisors is an integer number (5663105280).

Almost surely, 2310316613013 is an apocalyptic number.

It is an amenable number.

310316613013 is a deficient number, since it is larger than the sum of its proper divisors (52122124907).

310316613013 is a wasteful number, since it uses less digits than its factorization.

310316613013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810.

The product of its (nonzero) digits is 2916, while the sum is 28.

It can be divided in two parts, 310316 and 613013, that added together give a palindrome (923329).

The spelling of 310316613013 in words is "three hundred ten billion, three hundred sixteen million, six hundred thirteen thousand, thirteen".

Divisors: 1 11 31 67 89 101 341 737 979 1111 1511 2077 2759 3131 5963 6767 8989 16621 22847 30349 34441 46841 65593 74437 98879 101237 134479 152611 184853 209777 278659 515251 602263 1113607 1479269 1678721 2033383 2307547 3065249 3138347 4168849 4730941 6624893 9010093 10224937 13582379 18670153 34521817 45857339 52040351 99111023 112474307 149406169 205371683 279312883 316973047 421053749 910019393 3072441713 3486703517 4631591239 10010213323 28210601183 310316613013