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31113301000 = 2353412273343
BaseRepresentation
bin11100111110011111…
…110100110000001000
32222022100011110020111
4130332133310300020
51002210001113000
622143202004104
72151005460235
oct347637646010
988270143214
1031113301000
1112216713601
126043946634
132c1ac21ca2
14171224a78c
15c2173acba
hex73e7f4c08

31113301000 has 128 divisors (see below), whose sum is σ = 74931816960. Its totient is φ = 12084672000.

The previous prime is 31113300973. The next prime is 31113301013. The reversal of 31113301000 is 10331113.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9305329 + ... + 9308671.

It is an arithmetic number, because the mean of its divisors is an integer number (585404820).

Almost surely, 231113301000 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 31113301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37465908480).

31113301000 is an abundant number, since it is smaller than the sum of its proper divisors (43818515960).

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

31113301000 is a wasteful number, since it uses less digits than its factorization.

31113301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 31113301000 its reverse (10331113), we get a palindrome (31123632113).

The spelling of 31113301000 in words is "thirty-one billion, one hundred thirteen million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 227 250 328 410 454 500 820 908 1000 1025 1135 1640 1816 2050 2270 3343 4100 4540 5125 5675 6686 8200 9080 9307 10250 11350 13372 16715 18614 20500 22700 26744 28375 33430 37228 41000 45400 46535 56750 66860 74456 83575 93070 113500 133720 137063 167150 186140 227000 232675 274126 334300 372280 417875 465350 548252 668600 685315 758861 835750 930700 1096504 1163375 1370630 1517722 1671500 1861400 2326750 2741260 3035444 3343000 3426575 3794305 4653500 5482520 6070888 6853150 7588610 9307000 13706300 15177220 17132875 18971525 27412600 30354440 31113301 34265750 37943050 62226602 68531500 75886100 94857625 124453204 137063000 151772200 155566505 189715250 248906408 311133010 379430500 622266020 758861000 777832525 1244532040 1555665050 3111330100 3889162625 6222660200 7778325250 15556650500 31113301000