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100431441220 = 22511456506551
BaseRepresentation
bin101110110001000101…
…1100010110101000100
3100121020020110211100011
41131202023202311010
53121140422104340
6114045414200004
710153533110425
oct1354213426504
9317206424304
10100431441220
1139657a262a0
121756a353004
13961700bcc6
144c0a48b64c
15292c05e0ea
hex17622e2d44

100431441220 has 24 divisors (see below), whose sum is σ = 230079302208. Its totient is φ = 36520524000.

The previous prime is 100431441197. The next prime is 100431441233. The reversal of 100431441220 is 22144134001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 100431441191 and 100431441200.

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 7 ways as a sum of consecutive naturals, for example, 228253056 + ... + 228253495.

It is an arithmetic number, because the mean of its divisors is an integer number (9586637592).

Almost surely, 2100431441220 is an apocalyptic number.

100431441220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100431441220 is an abundant number, since it is smaller than the sum of its proper divisors (129647860988).

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

100431441220 is a wasteful number, since it uses less digits than its factorization.

100431441220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456506571 (or 456506569 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 100431441220 its reverse (22144134001), we get a palindrome (122575575221).

The spelling of 100431441220 in words is "one hundred billion, four hundred thirty-one million, four hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 456506551 913013102 1826026204 2282532755 4565065510 5021572061 9130131020 10043144122 20086288244 25107860305 50215720610 100431441220