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313131024102 = 231317271187107
BaseRepresentation
bin1001000111010000001…
…00000011111011100110
31002221020122021011111010
410203220010003323212
520112243020232402
6355503404323050
731423451534421
oct4435004037346
91087218234433
10313131024102
11110886333036
125082ab43486
13236b33b7260
14112270569b8
15822a392a6c
hex48e8103ee6

313131024102 has 64 divisors (see below), whose sum is σ = 714380373504. Its totient is φ = 90645987840.

The previous prime is 313131024067. The next prime is 313131024113. The reversal of 313131024102 is 201420131313.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3551233 + ... + 3638339.

It is an arithmetic number, because the mean of its divisors is an integer number (11162193336).

Almost surely, 2313131024102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313131024102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357190186752).

313131024102 is an abundant number, since it is smaller than the sum of its proper divisors (401249349402).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313131024102 is a wasteful number, since it uses less digits than its factorization.

313131024102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89853.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 313131024102 its reverse (201420131313), we get a palindrome (514551155415).

The spelling of 313131024102 in words is "three hundred thirteen billion, one hundred thirty-one million, twenty-four thousand, one hundred two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 2711 5422 8133 16266 35243 46087 70486 87107 92174 105729 138261 174214 211458 261321 276522 522642 599131 1132391 1198262 1480819 1797393 2264782 2961638 3397173 3594786 4442457 6794346 8884914 19250647 38501294 57751941 115503882 236147077 472294154 708441231 1416882462 3069912001 4014500309 6139824002 8029000618 9209736003 12043500927 18419472006 24087001854 52188504017 104377008034 156565512051 313131024102