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10024424130 = 23571911532179
BaseRepresentation
bin10010101011000000…
…01001001011000010
3221212121201111201210
421111200021023002
5131012223033010
64334414110550
7503262125220
oct112540111302
927777644653
1010024424130
114284587246
121b391ab456
13c39a8c516
146b14bdb10
153da0d4b20
hex2558092c2

10024424130 has 128 divisors (see below), whose sum is σ = 28981094400. Its totient is φ = 2167824384.

The previous prime is 10024424107. The next prime is 10024424143. The reversal of 10024424130 is 3142442001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10024424097 and 10024424106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4599381 + ... + 4601559.

It is an arithmetic number, because the mean of its divisors is an integer number (226414800).

Almost surely, 210024424130 is an apocalyptic number.

10024424130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024424130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14490547200).

10024424130 is an abundant number, since it is smaller than the sum of its proper divisors (18956670270).

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

10024424130 is a wasteful number, since it uses less digits than its factorization.

10024424130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10024424130 its reverse (3142442001), we get a palindrome (13166866131).

The spelling of 10024424130 in words is "ten billion, twenty-four million, four hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1153 1330 1995 2179 2306 3459 3990 4358 5765 6537 6918 8071 10895 11530 13074 15253 16142 17295 21790 21907 24213 30506 32685 34590 40355 41401 43814 45759 48426 65370 65721 76265 80710 82802 91518 109535 121065 124203 131442 152530 153349 207005 219070 228795 242130 248406 289807 306698 328605 414010 457590 460047 579614 621015 657210 766745 869421 920094 1242030 1449035 1533490 1738842 2300235 2512387 2898070 4347105 4600470 5024774 7537161 8694210 12561935 15074322 17586709 25123870 35173418 37685805 47735353 52760127 75371610 87933545 95470706 105520254 143206059 175867090 238676765 263800635 286412118 334147471 477353530 527601270 668294942 716030295 1002442413 1432060590 1670737355 2004884826 3341474710 5012212065 10024424130