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100320231220 = 225112379109379
BaseRepresentation
bin101110101101110001…
…1010011111100110100
3100120221111012202220021
41131123203103330310
53120423434344340
6114030402414524
710151012616136
oct1353343237464
9316844182807
10100320231220
1139600178600
1217539061444
1395c9c71c81
144bd97bd056
1529223e2e4a
hex175b8d3f34

100320231220 has 72 divisors (see below), whose sum is σ = 232178738400. Its totient is φ = 36383497920.

The previous prime is 100320231217. The next prime is 100320231223. The reversal of 100320231220 is 22132023001.

It is an interprime number because it is at equal distance from previous prime (100320231217) and next prime (100320231223).

It is a junction number, because it is equal to n+sod(n) for n = 100320231194 and 100320231203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100320231223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862491 + ... + 971869.

It is an arithmetic number, because the mean of its divisors is an integer number (3224704700).

Almost surely, 2100320231220 is an apocalyptic number.

100320231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100320231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116089369200).

100320231220 is an abundant number, since it is smaller than the sum of its proper divisors (131858507180).

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

100320231220 is a wasteful number, since it uses less digits than its factorization.

100320231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109789 (or 109776 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100320231220 its reverse (22132023001), we get a palindrome (122452254221).

The spelling of 100320231220 in words is "one hundred billion, three hundred twenty million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 379 484 605 758 1210 1516 1895 2420 3790 4169 7580 8338 16676 20845 41690 45859 83380 91718 109379 183436 218758 229295 437516 458590 546895 917180 1093790 1203169 2187580 2406338 4812676 6015845 12031690 13234859 24063380 26469718 41454641 52939436 66174295 82909282 132348590 165818564 207273205 264697180 414546410 456001051 829092820 912002102 1824004204 2280005255 4560010510 5016011561 9120021020 10032023122 20064046244 25080057805 50160115610 100320231220