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31313200213134 = 2337516471603949
BaseRepresentation
bin1110001111010101011000…
…01011001110110010001110
311002212111211202120111222000
413013222230023032302032
513101013413223310014
6150333030253133130
76411206202131160
oct707525413166216
9132774752514860
1031313200213134
119a829432067a4
12361885b48a1a6
131461a8c238698
147a37d1ada930
153947dc9ed509
hex1c7aac2cec8e

31313200213134 has 64 divisors (see below), whose sum is σ = 79527177216000. Its totient is φ = 8946449828064.

The previous prime is 31313200213123. The next prime is 31313200213153. The reversal of 31313200213134 is 43131200231313.

31313200213134 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 320 + 0 + 21 + 313 + 4 = 666.

It is a super-2 number, since 2×313132002131342 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31313200213098 and 31313200213107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18720592 + ... + 20324540.

It is an arithmetic number, because the mean of its divisors is an integer number (1242612144000).

Almost surely, 231313200213134 is an apocalyptic number.

31313200213134 is an abundant number, since it is smaller than the sum of its proper divisors (48213977002866).

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

31313200213134 is a wasteful number, since it uses less digits than its factorization.

31313200213134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655614 (or 1655608 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31313200213134 its reverse (43131200231313), we get a palindrome (74444400444447).

The spelling of 31313200213134 in words is "thirty-one trillion, three hundred thirteen billion, two hundred million, two hundred thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 51647 103294 154941 309882 361529 464823 723058 929646 1084587 1394469 1603949 2169174 2788938 3207898 3253761 4811847 6507522 9623694 9761283 11227643 14435541 19522566 22455286 28871082 33682929 43306623 67365858 86613246 101048787 202097574 303146361 606292722 82839154003 165678308006 248517462009 497034924018 579874078021 745552386027 1159748156042 1491104772054 1739622234063 2236657158081 3479244468126 4473314316162 5218866702189 10437733404378 15656600106567 31313200213134