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100200220220220 = 22354394841409499
BaseRepresentation
bin10110110010000110101110…
…100010000101101100111100
3111010210001021121222120010120
4112302012232202011230330
5101113140022334021340
6553035202400534540
730051140603010561
oct2662065642055474
9433701247876116
10100200220220220
1129a2174711105a
12b2a3583021450
1343baabcc7bb33
141aa5a0625a868
15b8b6872444d0
hex5b21ae885b3c

100200220220220 has 96 divisors (see below), whose sum is σ = 287089010208000. Its totient is φ = 26098323095040.

The previous prime is 100200220220189. The next prime is 100200220220227. The reversal of 100200220220220 is 22022022002001.

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 100200220220220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200220220227) by changing a digit.

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, 244485031 + ... + 244894529.

It is an arithmetic number, because the mean of its divisors is an integer number (2990510523000).

Almost surely, 2100200220220220 is an apocalyptic number.

100200220220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200220220220 is an abundant number, since it is smaller than the sum of its proper divisors (186888789987780).

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

100200220220220 is a wasteful number, since it uses less digits than its factorization.

100200220220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504395 (or 504393 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 100200220220220 its reverse (22022022002001), we get a palindrome (122222242222221).

The spelling of 100200220220220 in words is "one hundred trillion, two hundred billion, two hundred twenty million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 94841 189682 284523 379364 409499 474205 569046 818998 948410 1138092 1228497 1422615 1637996 1896820 2047495 2456994 2845230 4078163 4094990 4913988 5690460 6142485 8156326 8189980 12234489 12284970 16312652 17608457 20390815 24468978 24569940 35216914 40781630 48937956 52825371 61172445 70433828 81563260 88042285 105650742 122344890 176084570 211301484 244689780 264126855 352169140 528253710 1056507420 38837294659 77674589318 116511883977 155349178636 194186473295 233023767954 388372946590 466047535908 582559419885 776745893180 1165118839770 1670003670337 2330237679540 3340007340674 5010011011011 6680014681348 8350018351685 10020022022022 16700036703370 20040044044044 25050055055055 33400073406740 50100110110110 100200220220220