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31314104831200 = 2552374722508701
BaseRepresentation
bin1110001111010111000100…
…00110000100110011100000
311002212121011210202212122211
413013223202012010303200
513101022241314044300
6150333300130211504
76411240465222502
oct707534206046340
9132777153685584
1031314104831200
119a83267902734
123618a72423b94
131461ba478b049
147a3879cd9d72
1539484213d4ba
hex1c7ae2184ce0

31314104831200 has 144 divisors (see below), whose sum is σ = 80182118890944. Its totient is φ = 11927810304000.

The previous prime is 31314104831189. The next prime is 31314104831201. The reversal of 31314104831200 is 213840141313.

It is a super-2 number, since 2×313141048312002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31314104831201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9863151 + ... + 12645550.

It is an arithmetic number, because the mean of its divisors is an integer number (556820270076).

Almost surely, 231314104831200 is an apocalyptic number.

It is an amenable number.

31314104831200 is an abundant number, since it is smaller than the sum of its proper divisors (48868014059744).

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

31314104831200 is a wasteful number, since it uses less digits than its factorization.

31314104831200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22508805 (or 22508792 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 31314104831200 its reverse (213840141313), we get a palindrome (31527944972513).

The spelling of 31314104831200 in words is "thirty-one trillion, three hundred fourteen billion, one hundred four million, eight hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 47 50 74 80 94 100 148 160 185 188 200 235 296 370 376 400 470 592 740 752 800 925 940 1175 1184 1480 1504 1739 1850 1880 2350 2960 3478 3700 3760 4700 5920 6956 7400 7520 8695 9400 13912 14800 17390 18800 27824 29600 34780 37600 43475 55648 69560 86950 139120 173900 278240 347800 695600 1391200 22508701 45017402 90034804 112543505 180069608 225087010 360139216 450174020 562717525 720278432 832821937 900348040 1057908947 1125435050 1665643874 1800696080 2115817894 2250870100 3331287748 3601392160 4164109685 4231635788 4501740200 5289544735 6662575496 8328219370 8463271576 9003480400 10579089470 13325150992 16656438740 16926543152 18006960800 20820548425 21158178940 26447723675 26650301984 33312877480 33853086304 39142631039 41641096850 42316357880 52895447350 66625754960 78285262078 83282193700 84632715760 105790894700 133251509920 156570524156 166564387400 169265431520 195713155195 211581789400 313141048312 333128774800 391426310390 423163578800 626282096624 666257549600 782852620780 846327157600 978565775975 1252564193248 1565705241560 1957131551950 3131410483120 3914263103900 6262820966240 7828526207800 15657052415600 31314104831200