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10154242314 = 2321929690767
BaseRepresentation
bin10010111010011110…
…10111000100001010
3222012122222221210200
421131033113010022
5131243441223224
64355332353030
7506426430666
oct113517270412
928178887720
1010154242314
1143408945a7
121b74775776
13c5a943308
146c48338a6
153e66c95c9
hex25d3d710a

10154242314 has 24 divisors (see below), whose sum is σ = 23158799040. Its totient is φ = 3206602728.

The previous prime is 10154242313. The next prime is 10154242321. The reversal of 10154242314 is 41324245101.

10154242314 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 424 + 231 + 4 = 666.

10154242314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10154242313) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14845042 + ... + 14845725.

It is an arithmetic number, because the mean of its divisors is an integer number (964949960).

Almost surely, 210154242314 is an apocalyptic number.

10154242314 is an abundant number, since it is smaller than the sum of its proper divisors (13004556726).

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

10154242314 is a wasteful number, since it uses less digits than its factorization.

10154242314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29690794 (or 29690791 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10154242314 its reverse (41324245101), we get a palindrome (51478487415).

The spelling of 10154242314 in words is "ten billion, one hundred fifty-four million, two hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 29690767 59381534 89072301 178144602 267216903 534433806 564124573 1128249146 1692373719 3384747438 5077121157 10154242314