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10085042024 = 232354810011
BaseRepresentation
bin10010110010001110…
…11000011101101000
3222000211210012211222
421121013120131220
5131123232321044
64344421241212
7504626304611
oct113107303550
928024705758
1010085042024
11430581a382
121b55563208
13c494c47b5
146b957cc08
153e05aa8ee
hex2591d8768

10085042024 has 16 divisors (see below), whose sum is σ = 19731604320. Its totient is φ = 4823280880.

The previous prime is 10085042021. The next prime is 10085042027. The reversal of 10085042024 is 42024058001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10085042021) and next prime (10085042027).

It is a junction number, because it is equal to n+sod(n) for n = 10085041984 and 10085042002.

It is not an unprimeable number, because it can be changed into a prime (10085042021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27404822 + ... + 27405189.

It is an arithmetic number, because the mean of its divisors is an integer number (1233225270).

Almost surely, 210085042024 is an apocalyptic number.

It is an amenable number.

10085042024 is a deficient number, since it is larger than the sum of its proper divisors (9646562296).

10085042024 is a wasteful number, since it uses less digits than its factorization.

10085042024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54810040 (or 54810036 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The spelling of 10085042024 in words is "ten billion, eighty-five million, forty-two thousand, twenty-four".

Divisors: 1 2 4 8 23 46 92 184 54810011 109620022 219240044 438480088 1260630253 2521260506 5042521012 10085042024