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107356313380 = 22570120693701
BaseRepresentation
bin110001111111011101…
…1110101011100100100
3101021002211211210002211
41203332323311130210
53224331204012010
6121152510213204
710520250415201
oct1437673653444
9337084753084
10107356313380
1141590927238
12189814b4204
13a17b89c3b4
1452a604cca8
152bd4e8808a
hex18feef5724

107356313380 has 48 divisors (see below), whose sum is σ = 225940019760. Its totient is φ = 42848960000.

The previous prime is 107356313359. The next prime is 107356313381. The reversal of 107356313380 is 83313653701.

It can be written as a sum of positive squares in 8 ways, for example, as 1209370176 + 106146943204 = 34776^2 + 325802^2 .

It is not an unprimeable number, because it can be changed into a prime (107356313381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29005530 + ... + 29009230.

It is an arithmetic number, because the mean of its divisors is an integer number (4707083745).

Almost surely, 2107356313380 is an apocalyptic number.

107356313380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107356313380 is an abundant number, since it is smaller than the sum of its proper divisors (118583706380).

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

107356313380 is a wasteful number, since it uses less digits than its factorization.

107356313380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 107356313380 in words is "one hundred seven billion, three hundred fifty-six million, three hundred thirteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 701 1402 2069 2804 3505 3701 4138 7010 7402 8276 10345 14020 14804 18505 20690 37010 41380 74020 1450369 2594401 2900738 5188802 5801476 7251845 7657369 10377604 12972005 14503690 15314738 25944010 29007380 30629476 38286845 51888020 76573690 153147380 5367815669 10735631338 21471262676 26839078345 53678156690 107356313380