Search a number
-
+
10412003013 = 341471801073
BaseRepresentation
bin10011011001001101…
…01000111011000101
3222212122000120000020
421230212220323011
5132310433044023
64441101205353
7516006364626
oct115446507305
928778016006
1010412003013
114463338a75
122026b60859
13c9c172239
1470ab6da4d
1540e142de3
hex26c9a8ec5

10412003013 has 16 divisors (see below), whose sum is σ = 14523860736. Its totient is φ = 6627944960.

The previous prime is 10412003003. The next prime is 10412003027. The reversal of 10412003013 is 31030021401.

10412003013 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 10412003013 - 210 = 10412001989 is a prime.

It is a super-3 number, since 3×104120030133 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10412002983 and 10412003001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412003003) 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, 894756 + ... + 906317.

It is an arithmetic number, because the mean of its divisors is an integer number (907741296).

Almost surely, 210412003013 is an apocalyptic number.

It is an amenable number.

10412003013 is a deficient number, since it is larger than the sum of its proper divisors (4111857723).

10412003013 is a wasteful number, since it uses less digits than its factorization.

10412003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801164.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10412003013 its reverse (31030021401), we get a palindrome (41442024414).

The spelling of 10412003013 in words is "ten billion, four hundred twelve million, three thousand, thirteen".

Divisors: 1 3 41 47 123 141 1927 5781 1801073 5403219 73843993 84650431 221531979 253951293 3470667671 10412003013