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100111021220 = 22572924657887
BaseRepresentation
bin101110100111100010…
…1001111010010100100
3100120101220112210201202
41131033011033102210
53120011410134340
6113553530342032
710142562432350
oct1351705172244
9316356483652
10100111021220
1139503074a81
121749ab8a918
139595811882
144bb9ac0460
15290dd69c15
hex174f14f4a4

100111021220 has 48 divisors (see below), whose sum is σ = 248551511040. Its totient is φ = 33140198784.

The previous prime is 100111021201. The next prime is 100111021237. The reversal of 100111021220 is 22120111001.

100111021220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1001110212202 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 12324884 + ... + 12333003.

It is an arithmetic number, because the mean of its divisors is an integer number (5178156480).

Almost surely, 2100111021220 is an apocalyptic number.

100111021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111021220 is an abundant number, since it is smaller than the sum of its proper divisors (148440489820).

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

100111021220 is a wasteful number, since it uses less digits than its factorization.

100111021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24657932 (or 24657930 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100111021220 its reverse (22120111001), we get a palindrome (122231132221).

The spelling of 100111021220 in words is "one hundred billion, one hundred eleven million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 24657887 49315774 98631548 123289435 172605209 246578870 345210418 493157740 690420836 715078723 863026045 1430157446 1726052090 2860314892 3452104180 3575393615 5005551061 7150787230 10011102122 14301574460 20022204244 25027755305 50055510610 100111021220