Search a number
-
+
10165115061 = 332912982267
BaseRepresentation
bin10010111011110001…
…10101100010110101
3222020102110100102000
421131320311202311
5131304232140221
64400401405513
7506621023653
oct113570654265
928212410360
1010165115061
114346a40442
121b78339899
13c5cc7c1aa
146c6063dd3
153e7625e26
hex25de358b5

10165115061 has 16 divisors (see below), whose sum is σ = 15578721600. Its totient is φ = 6543062064.

The previous prime is 10165115033. The next prime is 10165115063. The reversal of 10165115061 is 16051156101.

10165115061 is a `hidden beast` number, since 1 + 0 + 1 + 651 + 1 + 5 + 0 + 6 + 1 = 666.

It is not a de Polignac number, because 10165115061 - 213 = 10165106869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10165115063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6490351 + ... + 6491916.

It is an arithmetic number, because the mean of its divisors is an integer number (973670100).

Almost surely, 210165115061 is an apocalyptic number.

It is an amenable number.

10165115061 is a deficient number, since it is larger than the sum of its proper divisors (5413606539).

10165115061 is a wasteful number, since it uses less digits than its factorization.

10165115061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12982305 (or 12982299 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 10165115061 in words is "ten billion, one hundred sixty-five million, one hundred fifteen thousand, sixty-one".

Divisors: 1 3 9 27 29 87 261 783 12982267 38946801 116840403 350521209 376485743 1129457229 3388371687 10165115061