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23440124100 = 22352457170971
BaseRepresentation
bin10101110101001000…
…111110100011000100
32020111120201200100110
4111311020332203010
5341001132432400
614433535113020
71456603524141
oct256510764304
966446650313
1023440124100
119a39380198
124662072770
13229730b923
1411c51393c8
15922c9be50
hex57523e8c4

23440124100 has 72 divisors (see below), whose sum is σ = 67968892768. Its totient is φ = 6236985600.

The previous prime is 23440124077. The next prime is 23440124119. The reversal of 23440124100 is 142104432.

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, 51615 + ... + 222585.

Almost surely, 223440124100 is an apocalyptic number.

23440124100 is a gapful number since it is divisible by the number (20) 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 23440124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33984446384).

23440124100 is an abundant number, since it is smaller than the sum of its proper divisors (44528768668).

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

23440124100 is a wasteful number, since it uses less digits than its factorization.

23440124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171445 (or 171438 counting only the distinct ones).

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

Adding to 23440124100 its reverse (142104432), we get a palindrome (23582228532).

The spelling of 23440124100 in words is "twenty-three billion, four hundred forty million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 457 914 1371 1828 2285 2742 4570 5484 6855 9140 11425 13710 22850 27420 34275 45700 68550 137100 170971 341942 512913 683884 854855 1025826 1709710 2051652 2564565 3419420 4274275 5129130 8548550 10258260 12822825 17097100 25645650 51291300 78133747 156267494 234401241 312534988 390668735 468802482 781337470 937604964 1172006205 1562674940 1953343675 2344012410 3906687350 4688024820 5860031025 7813374700 11720062050 23440124100