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100122120112020 = 223571910729216317
BaseRepresentation
bin10110110000111101111111…
…011001110100011110010100
3111010111120200200211222201120
4112300331333121310132110
5101110400100222041040
6552535244512323540
730042404321025246
oct2660757731643624
9433446620758646
10100122120112020
11299a1609696896
12b2904075435b0
1343b3624640566
141aa1d1795c096
15b896159617d0
hex5b0f7f674794

100122120112020 has 96 divisors (see below), whose sum is σ = 280759305254400. Its totient is φ = 26659489895424.

The previous prime is 100122120112019. The next prime is 100122120112061. The reversal of 100122120112020 is 20211021221001.

It is a super-3 number, since 3×1001221201120203 (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462740902 + ... + 462957218.

It is an arithmetic number, because the mean of its divisors is an integer number (2924576096400).

Almost surely, 2100122120112020 is an apocalyptic number.

100122120112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122120112020 is an abundant number, since it is smaller than the sum of its proper divisors (180637185142380).

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

100122120112020 is a wasteful number, since it uses less digits than its factorization.

100122120112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227777 (or 227775 counting only the distinct ones).

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

Adding to 100122120112020 its reverse (20211021221001), we get a palindrome (120333141333021).

The spelling of 100122120112020 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 719 1438 2157 2876 3595 4314 7190 8628 10729 10785 14380 21458 21570 32187 42916 43140 53645 64374 107290 128748 160935 214580 216317 321870 432634 643740 648951 865268 1081585 1297902 2163170 2595804 3244755 4326340 6489510 7714151 12979020 15428302 23142453 30856604 38570755 46284906 77141510 92569812 115712265 154283020 155531923 231424530 311063846 462849060 466595769 622127692 777659615 933191538 1555319230 1866383076 2320865093 2332978845 3110638460 4641730186 4665957690 6962595279 9283460372 9331915380 11604325465 13925190558 23208650930 27850381116 34812976395 46417301860 69625952790 139251905580 1668702001867 3337404003734 5006106005601 6674808007468 8343510009335 10012212011202 16687020018670 20024424022404 25030530028005 33374040037340 50061060056010 100122120112020