Search a number
-
+
332102097 = 32241153113
BaseRepresentation
bin10011110010110…
…111100111010001
3212010220112102200
4103302313213101
51140004231342
652542033413
711141551455
oct2362674721
9763815380
10332102097
11160510248
1293278869
1353a5a822
143216c665
151e25094c
hex13cb79d1

332102097 has 12 divisors (see below), whose sum is σ = 481696644. Its totient is φ = 220481280.

The previous prime is 332102059. The next prime is 332102167. The reversal of 332102097 is 790201233.

It can be written as a sum of positive squares in 2 ways, for example, as 223921296 + 108180801 = 14964^2 + 10401^2 .

It is not a de Polignac number, because 332102097 - 216 = 332036561 is a prime.

It is a super-2 number, since 2×3321020972 = 220583605663594818, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 332102097.

It is not an unprimeable number, because it can be changed into a prime (332102297) 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 11 ways as a sum of consecutive naturals, for example, 74388 + ... + 78725.

It is an arithmetic number, because the mean of its divisors is an integer number (40141387).

Almost surely, 2332102097 is an apocalyptic number.

It is an amenable number.

332102097 is a deficient number, since it is larger than the sum of its proper divisors (149594547).

332102097 is a wasteful number, since it uses less digits than its factorization.

332102097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153360 (or 153357 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 332102097 is about 18223.6685933431. The cubic root of 332102097 is about 692.5065294992.

The spelling of 332102097 in words is "three hundred thirty-two million, one hundred two thousand, ninety-seven".

Divisors: 1 3 9 241 723 2169 153113 459339 1378017 36900233 110700699 332102097