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31013230332136 = 23136771187333469
BaseRepresentation
bin1110000110100110101001…
…00100111100100011101000
311001210211120100022200201111
413003103110210330203220
513031110043431112021
6145543140433400104
76350426521201153
oct703232444744350
9131724510280644
1031013230332136
119977701011338
12358a6a4109034
13143c6c5723c90
14793096998c9a
1538bad2cdd8e1
hex1c34d493c8e8

31013230332136 has 128 divisors (see below), whose sum is σ = 64489053484800. Its totient is φ = 13893728808960.

The previous prime is 31013230332113. The next prime is 31013230332137. The reversal of 31013230332136 is 63123303231013.

It is a junction number, because it is equal to n+sod(n) for n = 31013230332098 and 31013230332107.

It is not an unprimeable number, because it can be changed into a prime (31013230332137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 926608810 + ... + 926642278.

It is an arithmetic number, because the mean of its divisors is an integer number (503820730350).

Almost surely, 231013230332136 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 31013230332136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32244526742400).

31013230332136 is an abundant number, since it is smaller than the sum of its proper divisors (33475823152664).

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

31013230332136 is a wasteful number, since it uses less digits than its factorization.

31013230332136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35499 (or 35495 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 31013230332136 its reverse (63123303231013), we get a palindrome (94136533563149).

The spelling of 31013230332136 in words is "thirty-one trillion, thirteen billion, two hundred thirty million, three hundred thirty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 67 71 104 134 142 268 284 536 568 871 923 1742 1846 1873 3484 3692 3746 4757 6968 7384 7492 9514 14984 19028 24349 33469 38056 48698 61841 66938 97396 123682 125491 132983 133876 194792 247364 250982 265966 267752 435097 494728 501964 531932 870194 1003928 1063864 1631383 1728779 1740388 2242423 2376299 3262766 3457558 3480776 4484846 4752598 6525532 6915116 8909861 8969692 9505196 13051064 13830232 17819722 17939384 19010392 29151499 30891887 35639444 58302998 61783774 62687437 71278888 115828193 116605996 123567548 125374874 159212033 231656386 233211992 247135096 250749748 318424066 463312772 501499496 636848132 814936681 926625544 1273696264 1629873362 2069756429 3259746724 4139512858 4200058279 4450808027 6519493448 8279025716 8400116558 8901616054 16558051432 16800233116 17803232108 33600466232 35606464216 54600757627 57860504351 109201515254 115721008702 218403030508 231442017404 298204137809 436806061016 462884034808 596408275618 1192816551236 2385633102472 3876653791517 7753307583034 15506615166068 31013230332136