Search a number
-
+
132170235210 = 232513112966013
BaseRepresentation
bin111101100010111110…
…1011011110101001010
3110122011011121121122200
41323011331123311022
54131141040011320
6140415042501030
712356205314466
oct1730575336512
9418134547580
10132170235210
1151064719a52
1221747664776
13c6046b4290
14657b7d94a6
153688651290
hex1ec5f5bd4a

132170235210 has 48 divisors (see below), whose sum is σ = 370076661864. Its totient is φ = 32534211456.

The previous prime is 132170235181. The next prime is 132170235233. The reversal of 132170235210 is 12532071231.

132170235210 is a `hidden beast` number, since 1 + 3 + 217 + 0 + 235 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120526314561 + 11643920649 = 347169^2 + 107907^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56481837 + ... + 56484176.

Almost surely, 2132170235210 is an apocalyptic number.

132170235210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132170235210 is an abundant number, since it is smaller than the sum of its proper divisors (237906426654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132170235210 is a wasteful number, since it uses less digits than its factorization.

132170235210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112966039 (or 112966036 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 132170235210 in words is "one hundred thirty-two billion, one hundred seventy million, two hundred thirty-five thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 112966013 225932026 338898039 564830065 677796078 1016694117 1129660130 1468558169 1694490195 2033388234 2937116338 3388980390 4405674507 5083470585 7342790845 8811349014 10166941170 13217023521 14685581690 22028372535 26434047042 44056745070 66085117605 132170235210