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10024133148 = 2232232526367
BaseRepresentation
bin10010101010111110…
…00010001000011100
3221212121011201120200
421111133002020130
5131012134230043
64334403543500
7503256503661
oct112537021034
927777151520
1010024133148
1142843a8667
121b3908ab90
13c399b9c43
146b1445a68
153da0787d3
hex2557c221c

10024133148 has 54 divisors (see below), whose sum is σ = 26488416864. Its totient is φ = 3196094352.

The previous prime is 10024133059. The next prime is 10024133149. The reversal of 10024133148 is 84133142001.

10024133148 is a `hidden beast` number, since 100 + 2 + 413 + 3 + 148 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024133149) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 244140 + ... + 282227.

Almost surely, 210024133148 is an apocalyptic number.

10024133148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10024133148 is an abundant number, since it is smaller than the sum of its proper divisors (16464283716).

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

10024133148 is a wasteful number, since it uses less digits than its factorization.

10024133148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526423 (or 526395 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10024133148 its reverse (84133142001), we get a palindrome (94157275149).

The spelling of 10024133148 in words is "ten billion, twenty-four million, one hundred thirty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 19044 526367 1052734 1579101 2105468 3158202 4737303 6316404 9474606 12106441 18949212 24212882 36319323 48425764 72638646 108957969 145277292 217915938 278448143 435831876 556896286 835344429 1113792572 1670688858 2506033287 3341377716 5012066574 10024133148