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10006010071 = 199746111777
BaseRepresentation
bin10010101000110011…
…11001100011010111
3221211100001222101121
421110121321203113
5130443014310241
64332515304411
7502646453011
oct112431714327
927740058347
1010006010071
11427514a512
121b32bab107
13c36012c25
146acc891b1
153d8698ad1
hex2546798d7

10006010071 has 16 divisors (see below), whose sum is σ = 10665214560. Its totient is φ = 9360506880.

The previous prime is 10006010051. The next prime is 10006010123. The reversal of 10006010071 is 17001060001.

It is a cyclic number.

It is not a de Polignac number, because 10006010071 - 25 = 10006010039 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006010051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843735 + ... + 855511.

It is an arithmetic number, because the mean of its divisors is an integer number (666575910).

Almost surely, 210006010071 is an apocalyptic number.

10006010071 is a deficient number, since it is larger than the sum of its proper divisors (659204489).

10006010071 is a wasteful number, since it uses less digits than its factorization.

10006010071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12354.

The product of its (nonzero) digits is 42, while the sum is 16.

Adding to 10006010071 its reverse (17001060001), we get a palindrome (27007070072).

The spelling of 10006010071 in words is "ten billion, six million, ten thousand, seventy-one".

Divisors: 1 19 97 461 1843 8759 11777 44717 223763 849623 1142369 5429197 21705011 103154743 526632109 10006010071