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24342103024100 = 2252298393828629
BaseRepresentation
bin1011000100011100101100…
…11001110110000111100100
310012012002020000100110112222
411202032112121312013210
511142310111333232400
6123434335135131512
75061442001531651
oct542162631660744
9105162200313488
1024342103024100
117835478618094
1228917b5073b98
1310775b1899a84
14602242302c28
152c32d994a185
hex1623966761e4

24342103024100 has 36 divisors (see below), whose sum is σ = 54643824381300. Its totient is φ = 9401088063360.

The previous prime is 24342103024097. The next prime is 24342103024123. The reversal of 24342103024100 is 142030124342.

It can be written as a sum of positive squares in 6 ways, for example, as 5543773848484 + 18798329175616 = 2354522^2 + 4335704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 24342103024100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4196911415 + ... + 4196917214.

Almost surely, 224342103024100 is an apocalyptic number.

24342103024100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24342103024100 is an abundant number, since it is smaller than the sum of its proper divisors (30301721357200).

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

24342103024100 is a wasteful number, since it uses less digits than its factorization.

24342103024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8393828672 (or 8393828665 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 24342103024100 its reverse (142030124342), we get a palindrome (24484133148442).

The spelling of 24342103024100 in words is "twenty-four trillion, three hundred forty-two billion, one hundred three million, twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 8393828629 16787657258 33575314516 41969143145 83938286290 167876572580 209845715725 243421030241 419691431450 486842060482 839382862900 973684120964 1217105151205 2434210302410 4868420604820 6085525756025 12171051512050 24342103024100