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10120400024 = 237225817347
BaseRepresentation
bin10010110110011100…
…10000110010011000
3222010022022120220112
421123032100302120
5131211310300044
64352123143452
7505535660300
oct113316206230
928108276815
1010120400024
11432377a369
121b65374b88
13c539244a7
146c0144600
153e374209e
hex25b390c98

10120400024 has 24 divisors (see below), whose sum is σ = 22073832540. Its totient is φ = 4337314128.

The previous prime is 10120399997. The next prime is 10120400029. The reversal of 10120400024 is 42000402101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10120399981 and 10120400008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120400029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12908282 + ... + 12909065.

Almost surely, 210120400024 is an apocalyptic number.

10120400024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10120400024 is an abundant number, since it is smaller than the sum of its proper divisors (11953432516).

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

10120400024 is a wasteful number, since it uses less digits than its factorization.

10120400024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25817367 (or 25817356 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10120400024 its reverse (42000402101), we get a palindrome (52120802125).

The spelling of 10120400024 in words is "ten billion, one hundred twenty million, four hundred thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 25817347 51634694 103269388 180721429 206538776 361442858 722885716 1265050003 1445771432 2530100006 5060200012 10120400024