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107107333140 = 22351993953801
BaseRepresentation
bin110001111000000011…
…0000011010000010100
3101020110111100021102110
41203300012003100110
53223323434130030
6121112053511020
710511135211243
oct1436006032024
9336414307373
10107107333140
114147332a745
1218912042470
13a13c125c02
145280d5a95a
152bbd1a61b0
hex18f0183414

107107333140 has 48 divisors (see below), whose sum is σ = 315684774720. Its totient is φ = 27058694400.

The previous prime is 107107333127. The next prime is 107107333147. The reversal of 107107333140 is 41333701701.

It is a super-2 number, since 2×1071073331402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 107107333098 and 107107333107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107107333147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46975761 + ... + 46978040.

It is an arithmetic number, because the mean of its divisors is an integer number (6576766140).

Almost surely, 2107107333140 is an apocalyptic number.

107107333140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107107333140 is an abundant number, since it is smaller than the sum of its proper divisors (208577441580).

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

107107333140 is a wasteful number, since it uses less digits than its factorization.

107107333140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93953832 (or 93953830 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The spelling of 107107333140 in words is "one hundred seven billion, one hundred seven million, three hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 93953801 187907602 281861403 375815204 469769005 563722806 939538010 1127445612 1409307015 1785122219 1879076020 2818614030 3570244438 5355366657 5637228060 7140488876 8925611095 10710733314 17851222190 21421466628 26776833285 35702444380 53553666570 107107333140