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10123042024 = 234130862933
BaseRepresentation
bin10010110110110000…
…10101110011101000
3222010111021211001101
421123120111303220
5131212444321044
64352255531144
7505600303024
oct113330256350
928114254041
1010123042024
114325214337
121b66229ab4
13c5433abc4
146c0631384
153e3ab4cd4
hex25b615ce8

10123042024 has 16 divisors (see below), whose sum is σ = 19443648420. Its totient is φ = 4938069120.

The previous prime is 10123042019. The next prime is 10123042043. The reversal of 10123042024 is 42024032101.

10123042024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8695562500 + 1427479524 = 93250^2 + 37782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10123041992 and 10123042010.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 15431139 + ... + 15431794.

Almost surely, 210123042024 is an apocalyptic number.

It is an amenable number.

10123042024 is a deficient number, since it is larger than the sum of its proper divisors (9320606396).

10123042024 is a wasteful number, since it uses less digits than its factorization.

10123042024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30862980 (or 30862976 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10123042024 its reverse (42024032101), we get a palindrome (52147074125).

The spelling of 10123042024 in words is "ten billion, one hundred twenty-three million, forty-two thousand, twenty-four".

Divisors: 1 2 4 8 41 82 164 328 30862933 61725866 123451732 246903464 1265380253 2530760506 5061521012 10123042024