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10032042014 = 2107459110211
BaseRepresentation
bin10010101011111010…
…01101000000011110
3221220011001112111122
421111331031000132
5131021200321024
64335245250542
7503413643621
oct112575150036
927804045448
1010032042014
11428890a715
121b3b863a52
13c3b528a47
146b2503db8
153daadbd5e
hex255f4d01e

10032042014 has 16 divisors (see below), whose sum is σ = 15193495296. Its totient is φ = 4967573400.

The previous prime is 10032041959. The next prime is 10032042017. The reversal of 10032042014 is 41024023001.

10032042014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100320420142 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10032041983 and 10032042001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032042017) 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 7 ways as a sum of consecutive naturals, for example, 977369 + ... + 987579.

It is an arithmetic number, because the mean of its divisors is an integer number (949593456).

Almost surely, 210032042014 is an apocalyptic number.

10032042014 is a deficient number, since it is larger than the sum of its proper divisors (5161453282).

10032042014 is a wasteful number, since it uses less digits than its factorization.

10032042014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14911.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10032042014 its reverse (41024023001), we get a palindrome (51056065015).

The spelling of 10032042014 in words is "ten billion, thirty-two million, forty-two thousand, fourteen".

Divisors: 1 2 107 214 4591 9182 10211 20422 491237 982474 1092577 2185154 46878701 93757402 5016021007 10032042014