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202031323113300 = 223524323396695743
BaseRepresentation
bin101101111011111100010101…
…001111110110011101010100
3222111100000011021102221010220
4231323330111033312131110
5202440040122204111200
61553403524125314340
760361165345015602
oct5573742517663524
9874300137387126
10202031323113300
1159412003a5182a
121a7ab0354059b0
13889661a056805
1437c6522538872
151855471dee4a0
hexb7bf153f6754

202031323113300 has 144 divisors (see below), whose sum is σ = 598393820344320. Its totient is φ = 52599606514560.

The previous prime is 202031323113271. The next prime is 202031323113307. The reversal of 202031323113300 is 3311323130202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202031323113307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26825229 + ... + 33520971.

It is an arithmetic number, because the mean of its divisors is an integer number (4155512641280).

Almost surely, 2202031323113300 is an apocalyptic number.

202031323113300 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 202031323113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299196910172160).

202031323113300 is an abundant number, since it is smaller than the sum of its proper divisors (396362497231020).

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

202031323113300 is a wasteful number, since it uses less digits than its factorization.

202031323113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6698142 (or 6698135 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 202031323113300 its reverse (3311323130202), we get a palindrome (205342646243502).

The spelling of 202031323113300 in words is "two hundred two trillion, thirty-one billion, three hundred twenty-three million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2339 2580 3225 4300 4678 6450 7017 9356 11695 12900 14034 23390 28068 35085 46780 58475 70170 100577 116950 140340 175425 201154 233900 301731 350850 402308 502885 603462 701700 1005770 1206924 1508655 2011540 2514425 3017310 5028850 6034620 6695743 7543275 10057700 13391486 15086550 20087229 26782972 30173100 33478715 40174458 66957430 80348916 100436145 133914860 167393575 200872290 287916949 334787150 401744580 502180725 575833898 669574300 863750847 1004361450 1151667796 1439584745 1727501694 2008722900 2879169490 3455003388 4318754235 5758338980 7197923725 8637508470 14395847450 15661342877 17275016940 21593771175 28791694900 31322685754 43187542350 46984028631 62645371508 78306714385 86375084700 93968057262 156613428770 187936114524 234920143155 313226857540 391533571925 469840286310 673437743711 783067143850 939680572620 1174600715775 1346875487422 1566134287700 2020313231133 2349201431550 2693750974844 3367188718555 4040626462266 4698402863100 6734377437110 8081252924532 10101566155665 13468754874220 16835943592775 20203132311330 33671887185550 40406264622660 50507830778325 67343774371100 101015661556650 202031323113300