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10424231400 = 23352111579429
BaseRepresentation
bin10011011010101010…
…10010010111101000
3222220111000211012110
421231111102113220
5132322100401100
64442215242320
7516215335122
oct115525222750
928814024173
1010424231400
11446a230380
12202b0793a0
13ca186417b
1470c634212
1541025b250
hex26d5525e8

10424231400 has 96 divisors (see below), whose sum is σ = 35252877600. Its totient is φ = 2527084800.

The previous prime is 10424231393. The next prime is 10424231413. The reversal of 10424231400 is 413242401.

10424231400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783115 + ... + 796314.

It is an arithmetic number, because the mean of its divisors is an integer number (367217475).

Almost surely, 210424231400 is an apocalyptic number.

10424231400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10424231400 is an abundant number, since it is smaller than the sum of its proper divisors (24828646200).

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

10424231400 is a wasteful number, since it uses less digits than its factorization.

10424231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579459 (or 1579450 counting only the distinct ones).

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

Adding to 10424231400 its reverse (413242401), we get a palindrome (10837473801).

The spelling of 10424231400 in words is "ten billion, four hundred twenty-four million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 1579429 3158858 4738287 6317716 7897145 9476574 12635432 15794290 17373719 18953148 23691435 31588580 34747438 37906296 39485725 47382870 52121157 63177160 69494876 78971450 86868595 94765740 104242314 118457175 138989752 157942900 173737190 189531480 208484628 236914350 260605785 315885800 347474380 416969256 434342975 473828700 521211570 694948760 868685950 947657400 1042423140 1303028925 1737371900 2084846280 2606057850 3474743800 5212115700 10424231400