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204365250100 = 2252111779138337
BaseRepresentation
bin1011111001010100011…
…1100011111000110100
3201112111120021100220001
42332111013203320310
511322020001000400
6233514544321044
720523234651454
oct2762507437064
9645446240801
10204365250100
1179741946210
1233735613184
131636b8061bb
149c69b51d64
1554b17e6a6a
hex2f951e3e34

204365250100 has 144 divisors (see below), whose sum is σ = 518734298880. Its totient is φ = 69057331200.

The previous prime is 204365250097. The next prime is 204365250137. The reversal of 204365250100 is 1052563402.

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, 1408132 + ... + 1546468.

It is an arithmetic number, because the mean of its divisors is an integer number (3602321520).

Almost surely, 2204365250100 is an apocalyptic number.

204365250100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204365250100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259367149440).

204365250100 is an abundant number, since it is smaller than the sum of its proper divisors (314369048780).

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

204365250100 is a wasteful number, since it uses less digits than its factorization.

204365250100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138458 (or 138451 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 204365250100 in words is "two hundred four billion, three hundred sixty-five million, two hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 79 85 100 110 158 170 187 220 275 316 340 374 395 425 550 748 790 850 869 935 1100 1343 1580 1700 1738 1870 1975 2686 3476 3740 3950 4345 4675 5372 6715 7900 8690 9350 13430 14773 17380 18700 21725 26860 29546 33575 43450 59092 67150 73865 86900 134300 138337 147730 276674 295460 369325 553348 691685 738650 1383370 1477300 1521707 2351729 2766740 3043414 3458425 4703458 6086828 6916850 7608535 9406916 10928623 11758645 13833700 15217070 21857246 23517290 25869019 30434140 38042675 43714492 47034580 51738038 54643115 58793225 76085350 103476076 109286230 117586450 120214853 129345095 152170700 185786591 218572460 235172900 240429706 258690190 273215575 371573182 480859412 517380380 546431150 601074265 646725475 743146364 928932955 1092862300 1202148530 1293450950 1857865910 2043652501 2404297060 2586901900 3005371325 3715731820 4087305002 4644664775 6010742650 8174610004 9289329550 10218262505 12021485300 18578659100 20436525010 40873050020 51091312525 102182625050 204365250100