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100031131220 = 22519263239819
BaseRepresentation
bin101110100101001010…
…0011110111001010100
3100120012100012222020212
41131022110132321110
53114330432144340
6113541554144552
710140602405036
oct1351224367124
9316170188225
10100031131220
1139471a69489
1217478282158
1395820bc597
144bad245c56
152906d38a65
hex174a51ee54

100031131220 has 24 divisors (see below), whose sum is σ = 221121448800. Its totient is φ = 37906533792.

The previous prime is 100031131171. The next prime is 100031131231. The reversal of 100031131220 is 22131130001.

It is a junction number, because it is equal to n+sod(n) for n = 100031131195 and 100031131204.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 131619530 + ... + 131620289.

It is an arithmetic number, because the mean of its divisors is an integer number (9213393700).

Almost surely, 2100031131220 is an apocalyptic number.

100031131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100031131220 is an abundant number, since it is smaller than the sum of its proper divisors (121090317580).

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

100031131220 is a wasteful number, since it uses less digits than its factorization.

100031131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263239847 (or 263239845 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100031131220 its reverse (22131130001), we get a palindrome (122162261221).

The spelling of 100031131220 in words is "one hundred billion, thirty-one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 263239819 526479638 1052959276 1316199095 2632398190 5001556561 5264796380 10003113122 20006226244 25007782805 50015565610 100031131220