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10024202412 = 2233713259527
BaseRepresentation
bin10010101010111110…
…10011000010101100
3221212121022020121000
421111133103002230
5131012143434122
64334405240300
7503260212630
oct112537230254
927777266530
1010024202412
114284445704
121b39103090
13c39a12623
146b1462dc0
153da08e0ac
hex2557d30ac

10024202412 has 48 divisors (see below), whose sum is σ = 29701342720. Its totient is φ = 2864057616.

The previous prime is 10024202351. The next prime is 10024202431. The reversal of 10024202412 is 21420242001.

10024202412 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 420 + 241 + 2 = 666.

10024202412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 15 ways as a sum of consecutive naturals, for example, 6629008 + ... + 6630519.

Almost surely, 210024202412 is an apocalyptic number.

10024202412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10024202412 is an abundant number, since it is smaller than the sum of its proper divisors (19677140308).

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

10024202412 is a wasteful number, since it uses less digits than its factorization.

10024202412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13259547 (or 13259539 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10024202412 its reverse (21420242001), we get a palindrome (31444444413).

The spelling of 10024202412 in words is "ten billion, twenty-four million, two hundred two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 13259527 26519054 39778581 53038108 79557162 92816689 119335743 159114324 185633378 238671486 278450067 358007229 371266756 477342972 556900134 716014458 835350201 1113800268 1432028916 1670700402 2506050603 3341400804 5012101206 10024202412