Search a number
-
+
107100674370 = 23254129024573
BaseRepresentation
bin110001110111110110…
…0101001100101000010
3101020110000210222022100
41203233230221211002
53223320233034440
6121111255051230
710511024466024
oct1435754514502
9336400728270
10107100674370
114146a5a1928
121890b970b16
13a13a934101
145280106014
152bbc7dd230
hex18efb29942

107100674370 has 48 divisors (see below), whose sum is σ = 285253513272. Its totient is φ = 27863589120.

The previous prime is 107100674363. The next prime is 107100674423. The reversal of 107100674370 is 73476001701.

It can be written as a sum of positive squares in 4 ways, for example, as 86819211801 + 20281462569 = 294651^2 + 142413^2 .

It is a super-2 number, since 2×1071006743702 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 14508597 + ... + 14515976.

Almost surely, 2107100674370 is an apocalyptic number.

107100674370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107100674370 is an abundant number, since it is smaller than the sum of its proper divisors (178152838902).

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

107100674370 is a wasteful number, since it uses less digits than its factorization.

107100674370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29024627 (or 29024624 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 107100674370 in words is "one hundred seven billion, one hundred million, six hundred seventy-four thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 29024573 58049146 87073719 145122865 174147438 261221157 290245730 435368595 522442314 870737190 1190007493 1306105785 2380014986 2612211570 3570022479 5950037465 7140044958 10710067437 11900074930 17850112395 21420134874 35700224790 53550337185 107100674370