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20131031004 = 2237738233989
BaseRepresentation
bin10010101111111001…
…110010011111011100
31220221222002022222220
4102233321302133130
5312212020443004
613125325505340
71311602640330
oct225771623734
956858068886
1020131031004
1185a0495607
123a99a12250
131b8a894786
14d8d8737c0
157cc4eedd9
hex4afe727dc

20131031004 has 96 divisors (see below), whose sum is σ = 54497909760. Its totient is φ = 5664619008.

The previous prime is 20131030999. The next prime is 20131031017. The reversal of 20131031004 is 40013013102.

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, 5044642 + ... + 5048630.

It is an arithmetic number, because the mean of its divisors is an integer number (567686560).

Almost surely, 220131031004 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 20131031004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27248954880).

20131031004 is an abundant number, since it is smaller than the sum of its proper divisors (34366878756).

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

20131031004 is a wasteful number, since it uses less digits than its factorization.

20131031004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20131031004 its reverse (40013013102), we get a palindrome (60144044106).

The spelling of 20131031004 in words is "twenty billion, one hundred thirty-one million, thirty-one thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 823 876 1022 1533 1646 2044 2469 3066 3292 3989 4938 5761 6132 7978 9876 11522 11967 15956 17283 23044 23934 27923 34566 47868 55846 60079 69132 83769 111692 120158 167538 180237 240316 291197 335076 360474 420553 582394 720948 841106 873591 1164788 1261659 1682212 1747182 2038379 2523318 3282947 3494364 4076758 5046636 6115137 6565894 8153516 9848841 12230274 13131788 19697682 22980629 24460548 39395364 45961258 68941887 91922516 137883774 239655131 275767548 479310262 718965393 958620524 1437930786 1677585917 2875861572 3355171834 5032757751 6710343668 10065515502 20131031004