Search a number
-
+
9957209101 = 721931052893
BaseRepresentation
bin10010100010111111…
…01111010000001101
3221200221020122001021
421101133233100031
5130343021142401
64324013314141
7501514611100
oct112137572015
927627218037
109957209101
11424a648634
121b1a795951
13c28b87508
146a65c4737
153d42592a1
hex2517ef40d

9957209101 has 12 divisors (see below), whose sum is σ = 11642901852. Its totient is φ = 8490521088.

The previous prime is 9957209089. The next prime is 9957209113. The reversal of 9957209101 is 1019027599.

It is an interprime number because it is at equal distance from previous prime (9957209089) and next prime (9957209113).

It can be written as a sum of positive squares in 2 ways, for example, as 4008789225 + 5948419876 = 63315^2 + 77126^2 .

It is not a de Polignac number, because 9957209101 - 27 = 9957208973 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 (9957209161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516990 + ... + 535903.

It is an arithmetic number, because the mean of its divisors is an integer number (970241821).

Almost surely, 29957209101 is an apocalyptic number.

It is an amenable number.

9957209101 is a deficient number, since it is larger than the sum of its proper divisors (1685692751).

9957209101 is a wasteful number, since it uses less digits than its factorization.

9957209101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053100 (or 1053093 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 43.

The square root of 9957209101 is about 99785.8161313521. The cubic root of 9957209101 is about 2151.3572897840.

The spelling of 9957209101 in words is "nine billion, nine hundred fifty-seven million, two hundred nine thousand, one hundred one".

Divisors: 1 7 49 193 1351 9457 1052893 7370251 51591757 203208349 1422458443 9957209101