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31313323330000 = 245429107976977
BaseRepresentation
bin1110001111010101100111…
…00000111000100111010000
311002212112011100020111112221
413013222303200320213100
513101014141233030000
6150333050412030424
76411212225453365
oct707526340704720
9132775140214487
1031313323330000
119a829a6757278
123618894762414
131461aab8b41ba
147a38041c846c
153947e871c61a
hex1c7ab38389d0

31313323330000 has 100 divisors (see below), whose sum is σ = 78426918430740. Its totient is φ = 12093421312000.

The previous prime is 31313323329991. The next prime is 31313323330007. The reversal of 31313323330000 is 3332331313.

It can be written as a sum of positive squares in 10 ways, for example, as 12089167394704 + 19224155935296 = 3476948^2 + 4384536^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31313323330007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53698489 + ... + 54278488.

Almost surely, 231313323330000 is an apocalyptic number.

It is an amenable number.

31313323330000 is an abundant number, since it is smaller than the sum of its proper divisors (47113595100740).

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

31313323330000 is a wasteful number, since it uses less digits than its factorization.

31313323330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107977034 (or 107977013 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 25.

Adding to 31313323330000 its reverse (3332331313), we get a palindrome (31316655661313).

The spelling of 31313323330000 in words is "thirty-one trillion, three hundred thirteen billion, three hundred twenty-three million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 1000 1160 1250 1450 2000 2320 2500 2900 3625 5000 5800 7250 10000 11600 14500 18125 29000 36250 58000 72500 145000 290000 107976977 215953954 431907908 539884885 863815816 1079769770 1727631632 2159539540 2699424425 3131332333 4319079080 5398848850 6262664666 8638158160 10797697700 12525329332 13497122125 15656661665 21595395400 25050658664 26994244250 31313323330 43190790800 50101317328 53988488500 62626646660 67485610625 78283308325 107976977000 125253293320 134971221250 156566616650 215953954000 250506586640 269942442500 313133233300 391416541625 539884885000 626266466600 782833083250 1079769770000 1252532933200 1565666166500 1957082708125 3131332333000 3914165416250 6262664666000 7828330832500 15656661665000 31313323330000