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10024101304 = 237282131147
BaseRepresentation
bin10010101010111101…
…11010010110111000
3221212121010002220021
421111132322112320
5131012132220204
64334403140224
7503256312100
oct112536722670
927777102807
1010024101304
114284386748
121b39074674
13c399a85b9
146b1438200
153da06e154
hex2557ba5b8

10024101304 has 48 divisors (see below), whose sum is σ = 21891125880. Its totient is φ = 4290672960.

The previous prime is 10024101287. The next prime is 10024101313. The reversal of 10024101304 is 40310142001.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 306259 + ... + 337405.

Almost surely, 210024101304 is an apocalyptic number.

10024101304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024101304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10945562940).

10024101304 is an abundant number, since it is smaller than the sum of its proper divisors (11867024576).

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

10024101304 is a wasteful number, since it uses less digits than its factorization.

10024101304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31988 (or 31977 counting only the distinct ones).

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

Adding to 10024101304 its reverse (40310142001), we get a palindrome (50334243305).

The spelling of 10024101304 in words is "ten billion, twenty-four million, one hundred one thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 821 1642 3284 5747 6568 11494 22988 31147 40229 45976 62294 80458 124588 160916 218029 249176 321832 436058 872116 1526203 1744232 3052406 6104812 12209624 25571687 51143374 102286748 179001809 204573496 358003618 716007236 1253012663 1432014472 2506025326 5012050652 10024101304