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10042114124 = 227358646933
BaseRepresentation
bin10010101101000111…
…01000000001001100
3221220212000020211202
421112203220001030
5131031240122444
64340245205032
7503565363440
oct112643500114
927825006752
1010042114124
114293569a79
121b43100778
13c40644383
146b39a6820
153db92b34e
hex2568e804c

10042114124 has 12 divisors (see below), whose sum is σ = 20084228304. Its totient is φ = 4303763184.

The previous prime is 10042114123. The next prime is 10042114139. The reversal of 10042114124 is 42141124001.

10042114124 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 10042114096 and 10042114105.

It is not an unprimeable number, because it can be changed into a prime (10042114123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179323439 + ... + 179323494.

It is an arithmetic number, because the mean of its divisors is an integer number (1673685692).

Almost surely, 210042114124 is an apocalyptic number.

10042114124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10042114124 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10042114124 is a wasteful number, since it uses less digits than its factorization.

10042114124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358646944 (or 358646942 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10042114124 its reverse (42141124001), we get a palindrome (52183238125).

The spelling of 10042114124 in words is "ten billion, forty-two million, one hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 358646933 717293866 1434587732 2510528531 5021057062 10042114124