Search a number
-
+
20131024210 = 2511192613827
BaseRepresentation
bin10010101111111001…
…110000110101010010
31220221222001222200021
4102233321300311102
5312212020233320
613125325414054
71311602611453
oct225771606522
956858058607
1020131024210
1185a04904a0
123a99a0a32a
131b8a89165b
14d8d87112a
157cc4ecdaa
hex4afe70d52

20131024210 has 96 divisors (see below), whose sum is σ = 41838628032. Its totient is φ = 6915404160.

The previous prime is 20131024201. The next prime is 20131024219. The reversal of 20131024210 is 1242013102.

It is an interprime number because it is at equal distance from previous prime (20131024201) and next prime (20131024219).

It is a super-2 number, since 2×201310242102 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20131024219) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 24341817 + ... + 24342643.

It is an arithmetic number, because the mean of its divisors is an integer number (435819042).

Almost surely, 220131024210 is an apocalyptic number.

20131024210 is an abundant number, since it is smaller than the sum of its proper divisors (21707603822).

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

20131024210 is a wasteful number, since it uses less digits than its factorization.

20131024210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20131024210 its reverse (1242013102), we get a palindrome (21373037312).

The spelling of 20131024210 in words is "twenty billion, one hundred thirty-one million, twenty-four thousand, two hundred ten".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 190 209 361 418 613 722 827 1045 1226 1654 1805 2090 3065 3610 3971 4135 6130 6743 7942 8270 9097 11647 13486 15713 18194 19855 23294 31426 33715 39710 45485 58235 67430 78565 90970 116470 128117 157130 172843 221293 256234 298547 345686 442586 506951 597094 640585 864215 1013902 1106465 1281170 1492735 1728430 2212930 2434223 2534755 2985470 3284017 4868446 5069510 5576461 6568034 9632069 11152922 12171115 16420085 19264138 24342230 27882305 32840170 48160345 55764610 96320690 105952759 183009311 211905518 366018622 529763795 915046555 1059527590 1830093110 2013102421 4026204842 10065512105 20131024210