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100102001212220 = 22574133173001281
BaseRepresentation
bin10110110000101011010000…
…001110010011101100111100
3111010102122202120120222121112
4112300223100032103230330
5101110032344302242340
6552522120254421152
730041062623141560
oct2660532016235474
9433378676528545
10100102001212220
1129994025037677
12b2885318017b8
1343b1769435717
141aa0d699656a0
15b88d3955b065
hex5b0ad0393b3c

100102001212220 has 48 divisors (see below), whose sum is σ = 240302932728768. Its totient is φ = 34312381870080.

The previous prime is 100102001212189. The next prime is 100102001212231. The reversal of 100102001212220 is 22212100201001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100102001212195 and 100102001212204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85922021 + ... + 87079260.

It is an arithmetic number, because the mean of its divisors is an integer number (5006311098516).

Almost surely, 2100102001212220 is an apocalyptic number.

100102001212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102001212220 is an abundant number, since it is smaller than the sum of its proper divisors (140200931516548).

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

100102001212220 is a wasteful number, since it uses less digits than its factorization.

100102001212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173005430 (or 173005428 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100102001212220 its reverse (22212100201001), we get a palindrome (122314101413221).

The spelling of 100102001212220 in words is "one hundred trillion, one hundred two billion, one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 4133 8266 16532 20665 28931 41330 57862 82660 115724 144655 289310 578620 173001281 346002562 692005124 865006405 1211008967 1730012810 2422017934 3460025620 4844035868 6055044835 12110089670 24220179340 715014294373 1430028588746 2860057177492 3575071471865 5005100060611 7150142943730 10010200121222 14300285887460 20020400242444 25025500303055 50051000606110 100102001212220