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1313134100 = 225213131341
BaseRepresentation
bin100111001000100…
…1101011000010100
310101111220010100022
41032101031120110
510142130242400
6334145004312
744353312205
oct11621153024
93344803308
101313134100
116142590a3
12307923698
1317c086235
14c657d5ac
157a436b85
hex4e44d614

1313134100 has 18 divisors (see below), whose sum is σ = 2849501214. Its totient is φ = 525253600.

The previous prime is 1313134093. The next prime is 1313134157. The reversal of 1313134100 is 14313131.

It can be written as a sum of positive squares in 3 ways, for example, as 5299204 + 1307834896 = 2302^2 + 36164^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6565571 + ... + 6565770.

It is an arithmetic number, because the mean of its divisors is an integer number (158305623).

Almost surely, 21313134100 is an apocalyptic number.

1313134100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313134100 is an abundant number, since it is smaller than the sum of its proper divisors (1536367114).

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

1313134100 is a wasteful number, since it uses less digits than its factorization.

1313134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13131355 (or 13131348 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1313134100 is about 36237.1922201486. The cubic root of 1313134100 is about 1095.0560774156.

Adding to 1313134100 its reverse (14313131), we get a palindrome (1327447231).

The spelling of 1313134100 in words is "one billion, three hundred thirteen million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13131341 26262682 52525364 65656705 131313410 262626820 328283525 656567050 1313134100