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31312032136 = 23721110370501
BaseRepresentation
bin11101001010010101…
…111011000110001000
32222211012010001002221
4131022111323012020
51003111340012021
622215021303424
72155640611300
oct351225730610
988735101087
1031312032136
111230890a210
12609a404b74
132c50153888
1417307bc600
15c33de4241
hex74a57b188

31312032136 has 96 divisors (see below), whose sum is σ = 75228454080. Its totient is φ = 12080880000.

The previous prime is 31312032107. The next prime is 31312032137. The reversal of 31312032136 is 63123021313.

31312032136 is a modest number, since divided by 32136 gives 31312 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 31312032136.

It is not an unprimeable number, because it can be changed into a prime (31312032137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408886 + ... + 479386.

It is an arithmetic number, because the mean of its divisors is an integer number (783629730).

Almost surely, 231312032136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31312032136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37614227040).

31312032136 is an abundant number, since it is smaller than the sum of its proper divisors (43916421944).

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

31312032136 is a wasteful number, since it uses less digits than its factorization.

31312032136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70635 (or 70624 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 31312032136 its reverse (63123021313), we get a palindrome (94435053449).

The spelling of 31312032136 in words is "thirty-one billion, three hundred twelve million, thirty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 103 154 196 206 308 392 412 539 616 721 824 1078 1133 1442 2156 2266 2884 4312 4532 5047 5768 7931 9064 10094 15862 20188 31724 40376 55517 63448 70501 111034 141002 222068 282004 444136 493507 564008 775511 987014 1551022 1974028 3102044 3454549 3948056 5428577 6204088 6909098 7261603 10857154 13818196 14523206 21714308 27636392 29046412 38000039 43428616 50831221 58092824 76000078 79877633 101662442 152000156 159755266 203324884 304000312 319510532 355818547 406649768 559143431 639021064 711637094 1118286862 1423274188 2236573724 2846548376 3914004017 4473147448 7828008034 15656016068 31312032136