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100312320120 = 23352069404029
BaseRepresentation
bin101110101101100010…
…1001000100001111000
3100120220221022211220120
41131123011020201320
53120414423220440
6114025521053240
710150555436535
oct1353305104170
9316827284816
10100312320120
11395a6764901
1217536487220
1395c843214c
144bd871dd8c
15292187ddd0
hex175b148878

100312320120 has 64 divisors (see below), whose sum is σ = 301083156000. Its totient is φ = 26736956928.

The previous prime is 100312320077. The next prime is 100312320131. The reversal of 100312320120 is 21023213001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100312320120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46266 + ... + 450294.

Almost surely, 2100312320120 is an apocalyptic number.

100312320120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100312320120 is an abundant number, since it is smaller than the sum of its proper divisors (200770835880).

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

100312320120 is a wasteful number, since it uses less digits than its factorization.

100312320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406112 (or 406108 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100312320120 its reverse (21023213001), we get a palindrome (121335533121).

The spelling of 100312320120 in words is "one hundred billion, three hundred twelve million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2069 4138 6207 8276 10345 12414 16552 20690 24828 31035 41380 49656 62070 82760 124140 248280 404029 808058 1212087 1616116 2020145 2424174 3232232 4040290 4848348 6060435 8080580 9696696 12120870 16161160 24241740 48483480 835936001 1671872002 2507808003 3343744004 4179680005 5015616006 6687488008 8359360010 10031232012 12539040015 16718720020 20062464024 25078080030 33437440040 50156160060 100312320120