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10042031124 = 2232278945309
BaseRepresentation
bin10010101101000110…
…10011110000010100
3221220211212000222200
421112203103300110
5131031224443444
64340243324500
7503564566446
oct112643236024
927824760880
1010042031124
114293512684
121b43080730
13c40615668
146b3984496
153db911969
hex2568d3c14

10042031124 has 18 divisors (see below), whose sum is σ = 25384023210. Its totient is φ = 3347343696.

The previous prime is 10042031071. The next prime is 10042031143. The reversal of 10042031124 is 42113024001.

It can be written as a sum of positive squares in only one way, i.e., 6497972100 + 3544059024 = 80610^2 + 59532^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10042031097 and 10042031106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139472619 + ... + 139472690.

Almost surely, 210042031124 is an apocalyptic number.

It is an amenable number.

10042031124 is an abundant number, since it is smaller than the sum of its proper divisors (15341992086).

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

10042031124 is a wasteful number, since it uses less digits than its factorization.

10042031124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278945319 (or 278945314 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10042031124 its reverse (42113024001), we get a palindrome (52155055125).

The spelling of 10042031124 in words is "ten billion, forty-two million, thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 278945309 557890618 836835927 1115781236 1673671854 2510507781 3347343708 5021015562 10042031124