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10024361345 = 531377872221
BaseRepresentation
bin10010101010111111…
…11001110110000001
3221212121121022121102
421111133321312001
5131012214030340
64334412504145
7503261444165
oct112537716601
927777538542
1010024361345
114284544059
121b3917b055
13c39a69a7b
146b14a4ca5
153da0c1215
hex2557f9d81

10024361345 has 32 divisors (see below), whose sum is σ = 12774829056. Its totient is φ = 7538054400.

The previous prime is 10024361309. The next prime is 10024361371. The reversal of 10024361345 is 54316342001.

It is not a de Polignac number, because 10024361345 - 28 = 10024361089 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4512335 + ... + 4514555.

It is an arithmetic number, because the mean of its divisors is an integer number (399213408).

Almost surely, 210024361345 is an apocalyptic number.

It is an amenable number.

10024361345 is a deficient number, since it is larger than the sum of its proper divisors (2750467711).

10024361345 is a wasteful number, since it uses less digits than its factorization.

10024361345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081.

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 10024361345 in words is "ten billion, twenty-four million, three hundred sixty-one thousand, three hundred forty-five".

Divisors: 1 5 31 37 155 185 787 1147 2221 3935 5735 11105 24397 29119 68851 82177 121985 145595 344255 410885 902689 1747927 2547487 4513445 8739635 12737435 54185737 64673299 270928685 323366495 2004872269 10024361345