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107321871460 = 22518313293021
BaseRepresentation
bin110001111110011100…
…0011100110001100100
3101021000110000221200011
41203330320130301210
53224243344341320
6121145240100004
710516351566346
oct1437470346144
9337013027604
10107321871460
1141573442541
1218971a64604
13a17470066b
1452a1645296
152bd1e3305a
hex18fce1cc64

107321871460 has 24 divisors (see below), whose sum is σ = 225389006136. Its totient is φ = 42926257920.

The previous prime is 107321871421. The next prime is 107321871499. The reversal of 107321871460 is 64178123701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107321871421) and next prime (107321871499).

It can be written as a sum of positive squares in 4 ways, for example, as 23607707904 + 83714163556 = 153648^2 + 289334^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219750 + ... + 512770.

It is an arithmetic number, because the mean of its divisors is an integer number (9391208589).

Almost surely, 2107321871460 is an apocalyptic number.

107321871460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107321871460 is an abundant number, since it is smaller than the sum of its proper divisors (118067134676).

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

107321871460 is a wasteful number, since it uses less digits than its factorization.

107321871460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311343 (or 311341 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 107321871460 in words is "one hundred seven billion, three hundred twenty-one million, eight hundred seventy-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 18313 36626 73252 91565 183130 293021 366260 586042 1172084 1465105 2930210 5860420 5366093573 10732187146 21464374292 26830467865 53660935730 107321871460