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10154162421 = 3213671295339
BaseRepresentation
bin10010111010011110…
…00011100011110101
3222012122211220012200
421131033003203311
5131243431144141
64355330535113
7506425646034
oct113517034365
928178756180
1010154162421
11434083a577
121b74737499
13c5a915b40
146c481271b
153e66b0ab6
hex25d3c38f5

10154162421 has 24 divisors (see below), whose sum is σ = 16031127840. Its totient is φ = 6155446176.

The previous prime is 10154162393. The next prime is 10154162443. The reversal of 10154162421 is 12426145101.

10154162421 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 416 + 242 + 1 = 666.

It is not a de Polignac number, because 10154162421 - 29 = 10154161909 is a prime.

It is a super-3 number, since 3×101541624213 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10154162021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639831 + ... + 655508.

It is an arithmetic number, because the mean of its divisors is an integer number (667963660).

Almost surely, 210154162421 is an apocalyptic number.

It is an amenable number.

10154162421 is a deficient number, since it is larger than the sum of its proper divisors (5876965419).

10154162421 is a wasteful number, since it uses less digits than its factorization.

10154162421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295425 (or 1295422 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10154162421 in words is "ten billion, one hundred fifty-four million, one hundred sixty-two thousand, four hundred twenty-one".

Divisors: 1 3 9 13 39 67 117 201 603 871 2613 7839 1295339 3886017 11658051 16839407 50518221 86787713 151554663 260363139 781089417 1128240269 3384720807 10154162421