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10042030313 = 722729321569
BaseRepresentation
bin10010101101000110…
…10011100011101001
3221220211211222212122
421112203103203221
5131031224432223
64340243321025
7503564564210
oct112643234351
927824758778
1010042030313
114293512007
121b43080175
13c40615193
146b3984077
153db9115c8
hex2568d38e9

10042030313 has 16 divisors (see below), whose sum is σ = 11567041920. Its totient is φ = 8539892736.

The previous prime is 10042030301. The next prime is 10042030321. The reversal of 10042030313 is 31303024001.

It is a happy number.

10042030313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10042030313 - 26 = 10042030249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10042030291 and 10042030300.

It is not an unprimeable number, because it can be changed into a prime (10042030213) 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 15 ways as a sum of consecutive naturals, for example, 454793 + ... + 476361.

It is an arithmetic number, because the mean of its divisors is an integer number (722940120).

Almost surely, 210042030313 is an apocalyptic number.

It is an amenable number.

10042030313 is a deficient number, since it is larger than the sum of its proper divisors (1525011607).

10042030313 is a wasteful number, since it uses less digits than its factorization.

10042030313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22096.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10042030313 its reverse (31303024001), we get a palindrome (41345054314).

The spelling of 10042030313 in words is "ten billion, forty-two million, thirty thousand, three hundred thirteen".

Divisors: 1 7 227 293 1589 2051 21569 66511 150983 465577 4896163 6319717 34273141 44238019 1434575759 10042030313