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13131122316 = 22313412053021
BaseRepresentation
bin11000011101010110…
…10000011010001100
31020220010112010110120
430032223100122030
5203343031403231
610010553304540
7643254461304
oct141653203214
936803463416
1013131122316
1156291a3604
122665705150
1313135c1280
148c7d3c604
1551cc02d96
hex30ead068c

13131122316 has 48 divisors (see below), whose sum is σ = 33800954208. Its totient is φ = 3941798400.

The previous prime is 13131122287. The next prime is 13131122317. The reversal of 13131122316 is 61322113131.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13131122317) 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, 1020115 + ... + 1032906.

It is an arithmetic number, because the mean of its divisors is an integer number (704186546).

Almost surely, 213131122316 is an apocalyptic number.

It is an amenable number.

13131122316 is an abundant number, since it is smaller than the sum of its proper divisors (20669831892).

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

13131122316 is a wasteful number, since it uses less digits than its factorization.

13131122316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053082 (or 2053080 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

Adding to 13131122316 its reverse (61322113131), we get a palindrome (74453235447).

The spelling of 13131122316 in words is "thirteen billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1599 2132 3198 6396 2053021 4106042 6159063 8212084 12318126 24636252 26689273 53378546 80067819 84173861 106757092 160135638 168347722 252521583 320271276 336695444 505043166 1010086332 1094260193 2188520386 3282780579 4377040772 6565561158 13131122316