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204114305102100 = 2235243157100782257
BaseRepresentation
bin101110011010010000010000…
…101001100011000100010100
3222202201010200212112120201120
4232122100100221203010110
5203223202044101231400
62002040452310323540
760664525521544311
oct5632202051430424
9882633625476646
10204114305102100
115a045432a87a48
121aa868779595b0
1389b7b8646c0b3
143859283bdbd08
15188e735082ca0
hexb9a410a63114

204114305102100 has 144 divisors (see below), whose sum is σ = 608154007610688. Its totient is φ = 52826027304960.

The previous prime is 204114305102069. The next prime is 204114305102117. The reversal of 204114305102100 is 1201503411402.

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, 48365829 + ... + 52416428.

Almost surely, 2204114305102100 is an apocalyptic number.

204114305102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204114305102100 is an abundant number, since it is smaller than the sum of its proper divisors (404039702508588).

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

204114305102100 is a wasteful number, since it uses less digits than its factorization.

204114305102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100782474 (or 100782467 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 204114305102100 its reverse (1201503411402), we get a palindrome (205315808513502).

The spelling of 204114305102100 in words is "two hundred four trillion, one hundred fourteen billion, three hundred five million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 157 172 215 258 300 314 430 471 516 628 645 785 860 942 1075 1290 1570 1884 2150 2355 2580 3140 3225 3925 4300 4710 6450 6751 7850 9420 11775 12900 13502 15700 20253 23550 27004 33755 40506 47100 67510 81012 101265 135020 168775 202530 337550 405060 506325 675100 1012650 2025300 100782257 201564514 302346771 403129028 503911285 604693542 1007822570 1209387084 1511733855 2015645140 2519556425 3023467710 4333637051 5039112850 6046935420 7558669275 8667274102 10078225700 13000911153 15117338550 15822814349 17334548204 21668185255 26001822306 30234677100 31645628698 43336370510 47468443047 52003644612 63291257396 65004555765 79114071745 86672741020 94936886094 108340926275 130009111530 158228143490 189873772188 216681852550 237342215235 260018223060 316456286980 325022778825 395570358725 433363705100 474684430470 650045557650 680381017007 791140717450 949368860940 1186711076175 1300091115300 1360762034014 1582281434900 2041143051021 2373422152350 2721524068028 3401905085035 4082286102042 4746844304700 6803810170070 8164572204084 10205715255105 13607620340140 17009525425175 20411430510210 34019050850350 40822861020420 51028576275525 68038101700700 102057152551050 204114305102100