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10124421240 = 2335593534051
BaseRepresentation
bin10010110110111011…
…00110100001111000
3222010120212212222110
421123131212201320
5131213322434430
64352345252320
7505615106043
oct113335464170
928116785873
1010124421240
114325a7658a
121b667940a0
13c547018cb
146c08adc5a
153e3c887b0
hex25b766878

10124421240 has 128 divisors (see below), whose sum is σ = 30983212800. Its totient is φ = 2645913600.

The previous prime is 10124421233. The next prime is 10124421283. The reversal of 10124421240 is 4212442101.

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, 2497215 + ... + 2501265.

It is an arithmetic number, because the mean of its divisors is an integer number (242056350).

Almost surely, 210124421240 is an apocalyptic number.

10124421240 is a gapful number since it is divisible by the number (10) 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 10124421240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15491606400).

10124421240 is an abundant number, since it is smaller than the sum of its proper divisors (20858791560).

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

10124421240 is a wasteful number, since it uses less digits than its factorization.

10124421240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10124421240 its reverse (4212442101), we get a palindrome (14336863341).

The spelling of 10124421240 in words is "ten billion, one hundred twenty-four million, four hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 353 354 472 590 706 708 885 1059 1180 1412 1416 1765 1770 2118 2360 2824 3530 3540 4051 4236 5295 7060 7080 8102 8472 10590 12153 14120 16204 20255 20827 21180 24306 32408 40510 41654 42360 48612 60765 62481 81020 83308 97224 104135 121530 124962 162040 166616 208270 239009 243060 249924 312405 416540 478018 486120 499848 624810 717027 833080 956036 1195045 1249620 1430003 1434054 1912072 2390090 2499240 2860006 2868108 3585135 4290009 4780180 5720012 5736216 7150015 7170270 8580018 9560360 11440024 14300030 14340540 17160036 21450045 28600060 28681080 34320072 42900090 57200120 84370177 85800180 168740354 171600360 253110531 337480708 421850885 506221062 674961416 843701770 1012442124 1265552655 1687403540 2024884248 2531105310 3374807080 5062210620 10124421240