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100312321220 = 2255015616061
BaseRepresentation
bin101110101101100010…
…1001000110011000100
3100120220221022220102022
41131123011020303010
53120414423234340
6114025521102312
710150555442666
oct1353305106304
9316827286368
10100312321220
11395a6765711
1217536487998
1395c84327b7
144bd8720536
15292187e3b5
hex175b148cc4

100312321220 has 12 divisors (see below), whose sum is σ = 210655874604. Its totient is φ = 40124928480.

The previous prime is 100312321181. The next prime is 100312321223. The reversal of 100312321220 is 22123213001.

It can be written as a sum of positive squares in 2 ways, for example, as 78516523264 + 21795797956 = 280208^2 + 147634^2 .

It is not an unprimeable number, because it can be changed into a prime (100312321223) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2507808011 + ... + 2507808050.

It is an arithmetic number, because the mean of its divisors is an integer number (17554656217).

Almost surely, 2100312321220 is an apocalyptic number.

100312321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100312321220 is an abundant number, since it is smaller than the sum of its proper divisors (110343553384).

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

100312321220 is a wasteful number, since it uses less digits than its factorization.

100312321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015616070 (or 5015616068 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100312321220 its reverse (22123213001), we get a palindrome (122435534221).

The spelling of 100312321220 in words is "one hundred billion, three hundred twelve million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 5015616061 10031232122 20062464244 25078080305 50156160610 100312321220