Search a number
-
+
10071765431 = 713110678741
BaseRepresentation
bin10010110000101001…
…01111000110110111
3221222220210200210022
421120110233012313
5131111332443211
64343224515355
7504405410420
oct113024570667
927886720708
1010071765431
1142a9281492
121b5101bb5b
13c46826720
146b78c4647
153de336bdb
hex25852f1b7

10071765431 has 8 divisors (see below), whose sum is σ = 12396019104. Its totient is φ = 7968869280.

The previous prime is 10071765359. The next prime is 10071765433. The reversal of 10071765431 is 13456717001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10071765431 - 214 = 10071749047 is a prime.

It is a super-2 number, since 2×100717654312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10071765391 and 10071765400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10071765433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55339280 + ... + 55339461.

It is an arithmetic number, because the mean of its divisors is an integer number (1549502388).

Almost surely, 210071765431 is an apocalyptic number.

10071765431 is a deficient number, since it is larger than the sum of its proper divisors (2324253673).

10071765431 is a wasteful number, since it uses less digits than its factorization.

10071765431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110678761.

The product of its (nonzero) digits is 17640, while the sum is 35.

The spelling of 10071765431 in words is "ten billion, seventy-one million, seven hundred sixty-five thousand, four hundred thirty-one".

Divisors: 1 7 13 91 110678741 774751187 1438823633 10071765431