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100012221212100 = 223522271468608241
BaseRepresentation
bin10110101111010111101000…
…111010110010010111000100
3111010010002000122200102120220
4112233113220322302113010
5101102100012112241400
6552412551413424340
730031434034551231
oct2657275072622704
9433102018612526
10100012221212100
1129959a4361976a
12b27305663b0b0
1343a615c080ab2
141a9a88dd74788
15b868326897a0
hex5af5e8eb25c4

100012221212100 has 72 divisors (see below), whose sum is σ = 290643445524768. Its totient is φ = 26552436979200.

The previous prime is 100012221212087. The next prime is 100012221212209. The reversal of 100012221212100 is 1212122210001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100012221212100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 734236021 + ... + 734372220.

Almost surely, 2100012221212100 is an apocalyptic number.

100012221212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012221212100 is an abundant number, since it is smaller than the sum of its proper divisors (190631224312668).

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

100012221212100 is a wasteful number, since it uses less digits than its factorization.

100012221212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468608485 (or 1468608478 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100012221212100 its reverse (1212122210001), we get a palindrome (101224343422101).

The spelling of 100012221212100 in words is "one hundred trillion, twelve billion, two hundred twenty-one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 227 300 454 681 908 1135 1362 2270 2724 3405 4540 5675 6810 11350 13620 17025 22700 34050 68100 1468608241 2937216482 4405824723 5874432964 7343041205 8811649446 14686082410 17623298892 22029123615 29372164820 36715206025 44058247230 73430412050 88116494460 110145618075 146860824100 220291236150 333374070707 440582472300 666748141414 1000122212121 1333496282828 1666870353535 2000244424242 3333740707070 4000488848484 5000611060605 6667481414140 8334351767675 10001222121210 16668703535350 20002444242420 25003055303025 33337407070700 50006110606050 100012221212100