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100102001220220 = 225157317724713877
BaseRepresentation
bin10110110000101011010000…
…001110010101101001111100
3111010102122202120121101120211
4112300223100032111221330
5101110032344303021340
6552522120254522204
730041062623204106
oct2660532016255174
9433378676541524
10100102001220220
112999402504268a
12b288531806364
1343b176943925c
141aa0d69968576
15b88d3955d5ea
hex5b0ad0395a7c

100102001220220 has 96 divisors (see below), whose sum is σ = 212265085600512. Its totient is φ = 39651926166528.

The previous prime is 100102001220211. The next prime is 100102001220241. The reversal of 100102001220220 is 22022100201001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100102001220220.

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 31 ways as a sum of consecutive naturals, for example, 7213511922 + ... + 7213525798.

It is an arithmetic number, because the mean of its divisors is an integer number (2211094641672).

Almost surely, 2100102001220220 is an apocalyptic number.

100102001220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102001220220 is an abundant number, since it is smaller than the sum of its proper divisors (112163084380292).

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

100102001220220 is a wasteful number, since it uses less digits than its factorization.

100102001220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21607 (or 21605 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100102001220220 its reverse (22022100201001), we get a palindrome (122124101421221).

The spelling of 100102001220220 in words is "one hundred trillion, one hundred two billion, one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 157 314 317 628 634 785 1268 1570 1585 3140 3170 6340 7247 13877 14494 27754 28988 36235 49769 55508 69385 72470 99538 138770 144940 199076 248845 277540 497690 995380 1137779 2178689 2275558 2297299 4357378 4399009 4551116 4594598 5688895 8714756 8798018 9189196 10893445 11377790 11486495 17596036 21786890 21995045 22755580 22972990 43573780 43990090 45945980 87980180 100566619 201133238 360675943 402266476 502833095 690644413 721351886 1005666190 1381288826 1442703772 1803379715 2011332380 2762577652 3453222065 3606759430 6906444130 7213518860 13812888260 15788959183 31577918366 31879618223 63155836732 63759236446 78944795915 127518472892 157889591830 159398091115 315779183660 318796182230 637592364460 5005100061011 10010200122022 20020400244044 25025500305055 50051000610110 100102001220220