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100102022222120 = 23517238703616703
BaseRepresentation
bin10110110000101011010001…
…011110011101000100101000
3111010102122211001010101202222
4112300223101132131010220
5101110032420142101440
6552522122325013212
730041063266545122
oct2660532136350450
9433378731111688
10100102022222120
1129994035987726
12b288538854208
1343b17708b0709
141aa0d6c674212
15b88d3b30b2b5
hex5b0ad179d128

100102022222120 has 64 divisors (see below), whose sum is σ = 238479732817920. Its totient is φ = 37685248205824.

The previous prime is 100102022222051. The next prime is 100102022222131. The reversal of 100102022222120 is 21222220201001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162009689 + ... + 162626391.

It is an arithmetic number, because the mean of its divisors is an integer number (3726245825280).

Almost surely, 2100102022222120 is an apocalyptic number.

100102022222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102022222120 is an abundant number, since it is smaller than the sum of its proper divisors (138377710595800).

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

100102022222120 is a wasteful number, since it uses less digits than its factorization.

100102022222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855434 (or 855430 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100102022222120 its reverse (21222220201001), we get a palindrome (121324242423121).

The spelling of 100102022222120 in words is "one hundred trillion, one hundred two billion, twenty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 238703 477406 616703 954812 1193515 1233406 1909624 2387030 2466812 3083515 4057951 4774060 4933624 6167030 8115902 9548120 10483951 12334060 16231804 20289755 20967902 24668120 32463608 40579510 41935804 52419755 81159020 83871608 104839510 162318040 209679020 419358040 147208856209 294417712418 588835424836 736044281045 1177670849672 1472088562090 2502550555553 2944177124180 5005101111106 5888354248360 10010202222212 12512752777765 20020404444424 25025505555530 50051011111060 100102022222120