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1313131014 = 23413247963
BaseRepresentation
bin100111001000100…
…1100101000000110
310101111212222010000
41032101030220012
510142130143024
6334144542130
744353300206
oct11621145006
93344788100
101313131014
11614256848
12307921946
1317c084a00
14c657c406
157a435cc9
hex4e44ca06

1313131014 has 60 divisors (see below), whose sum is σ = 3186200556. Its totient is φ = 404031888.

The previous prime is 1313131003. The next prime is 1313131063. The reversal of 1313131014 is 4101313131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3397 + ... + 51359.

Almost surely, 21313131014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313131014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593100278).

1313131014 is an abundant number, since it is smaller than the sum of its proper divisors (1873069542).

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

1313131014 is a wasteful number, since it uses less digits than its factorization.

1313131014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48003 (or 47981 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1313131014 is about 36237.1496395619. The cubic root of 1313131014 is about 1095.0552195835.

Adding to 1313131014 its reverse (4101313131), we get a palindrome (5414444145).

The spelling of 1313131014 in words is "one billion, three hundred thirteen million, one hundred thirty-one thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 3042 4563 9126 13689 27378 47963 95926 143889 287778 431667 623519 863334 1247038 1295001 1870557 2590002 3741114 3885003 5611671 7770006 8105747 11223342 16211494 16835013 24317241 33670026 48634482 50505039 72951723 101010078 145903446 218855169 437710338 656565507 1313131014