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10403124424 = 237111031131451
BaseRepresentation
bin10011011000001001…
…10001010011001000
3222212000022110212121
421230010301103020
5132301144440144
64440143021024
7515541045550
oct115404612310
928760273777
1010403124424
1144593243a0
122023b9a774
13c9a383c34
147098dc160
1540d48c384
hex26c1314c8

10403124424 has 128 divisors (see below), whose sum is σ = 24789473280. Its totient is φ = 3975552000.

The previous prime is 10403124419. The next prime is 10403124427. The reversal of 10403124424 is 42442130401.

It is not an unprimeable number, because it can be changed into a prime (10403124427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7168899 + ... + 7170349.

It is an arithmetic number, because the mean of its divisors is an integer number (193667760).

Almost surely, 210403124424 is an apocalyptic number.

10403124424 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 10403124424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12394736640).

10403124424 is an abundant number, since it is smaller than the sum of its proper divisors (14386348856).

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

10403124424 is a wasteful number, since it uses less digits than its factorization.

10403124424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10403124424 its reverse (42442130401), we get a palindrome (52845254825).

The spelling of 10403124424 in words is "ten billion, four hundred three million, one hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 103 113 154 206 226 308 412 452 616 721 791 824 904 1133 1243 1442 1451 1582 2266 2486 2884 2902 3164 4532 4972 5768 5804 6328 7931 8701 9064 9944 10157 11608 11639 15862 15961 17402 20314 23278 31724 31922 34804 40628 46556 63448 63844 69608 81256 81473 93112 111727 127688 128029 149453 162946 163963 223454 256058 298906 325892 327926 446908 512116 597812 651784 655852 893816 896203 1024232 1046171 1147741 1195624 1311704 1643983 1792406 1803593 2092342 2295482 3287966 3584812 3607186 4184684 4590964 6575932 7169624 7214372 8369368 9181928 11507881 12625151 13151864 14428744 16888189 23015762 25250302 33776378 46031524 50500604 67552756 92063048 101001208 118217323 135105512 185770079 236434646 371540158 472869292 743080316 945738584 1300390553 1486160632 2600781106 5201562212 10403124424