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10241124400 = 2452131969447
BaseRepresentation
bin10011000100110101…
…10010100000110000
3222102201111000121201
421202122302200300
5131433211440100
64412114500544
7511533056353
oct114232624060
928381430551
1010241124400
114385936381
121b99894754
13c72943030
146d21ac29a
153ee13c36a
hex2626b2830

10241124400 has 60 divisors (see below), whose sum is σ = 26496953392. Its totient is φ = 3781336320.

The previous prime is 10241124389. The next prime is 10241124449. The reversal of 10241124400 is 442114201.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 979524 + ... + 989923.

Almost surely, 210241124400 is an apocalyptic number.

10241124400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10241124400 is an abundant number, since it is smaller than the sum of its proper divisors (16255828992).

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

10241124400 is a wasteful number, since it uses less digits than its factorization.

10241124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969478 (or 1969467 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10241124400 its reverse (442114201), we get a palindrome (10683238601).

The spelling of 10241124400 in words is "ten billion, two hundred forty-one million, one hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 1969447 3938894 7877788 9847235 15755576 19694470 25602811 31511152 39388940 49236175 51205622 78777880 98472350 102411244 128014055 157555760 196944700 204822488 256028110 393889400 409644976 512056220 640070275 787778800 1024112440 1280140550 2048224880 2560281100 5120562200 10241124400