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100604661642100 = 225271123356075281
BaseRepresentation
bin10110110111111111011001…
…000111101011001101110100
3111012012201012211212112120001
4112313333121013223031310
5101141301321340021400
6553545051000121044
730122306205246460
oct2667773107531564
9435181184775501
10100604661642100
112a068219814450
12b349a35766184
134419c957c3c55
141abb41223b4a0
15b96e58a09a6a
hex5b7fd91eb374

100604661642100 has 144 divisors (see below), whose sum is σ = 273349504262016. Its totient is φ = 31222715904000.

The previous prime is 100604661642073. The next prime is 100604661642143. The reversal of 100604661642100 is 1246166406001.

It is a self number, because there is not a number n which added to its sum of digits gives 100604661642100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26243541 + ... + 29831740.

It is an arithmetic number, because the mean of its divisors is an integer number (1898260446264).

Almost surely, 2100604661642100 is an apocalyptic number.

100604661642100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100604661642100 is an abundant number, since it is smaller than the sum of its proper divisors (172744842619916).

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

100604661642100 is a wasteful number, since it uses less digits than its factorization.

100604661642100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56075546 (or 56075539 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 100604661642100 in words is "one hundred trillion, six hundred four billion, six hundred sixty-one million, six hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 233 275 308 350 385 466 550 700 770 932 1100 1165 1540 1631 1925 2330 2563 3262 3850 4660 5126 5825 6524 7700 8155 10252 11650 12815 16310 17941 23300 25630 32620 35882 40775 51260 64075 71764 81550 89705 128150 163100 179410 256300 358820 448525 897050 1794100 56075281 112150562 224301124 280376405 392526967 560752810 616828091 785053934 1121505620 1233656182 1401882025 1570107868 1962634835 2467312364 2803764050 3084140455 3925269670 4317796637 5607528100 6168280910 7850539340 8635593274 9813174175 12336561820 13065540473 15420702275 17271186548 19626348350 21588983185 26131080946 30841404550 39252696700 43177966370 52262161892 61682809100 65327702365 86355932740 91458783311 107944915925 130655404730 143720945203 182917566622 215889831850 261310809460 287441890406 326638511825 365835133244 431779663700 457293916555 574883780812 653277023650 718604726015 914587833110 1006046616421 1306554047300 1437209452030 1829175666220 2012093232842 2286469582775 2874418904060 3593023630075 4024186465684 4572939165550 5030233082105 7186047260150 9145878331100 10060466164210 14372094520300 20120932328420 25151165410525 50302330821050 100604661642100