Search a number
-
+
132332202000201 = 3738471638038323
BaseRepresentation
bin11110000101101011111101…
…111001000111111101001001
3122100112211112200112021021010
4132011223331321013331021
5114321112322203001301
61145240324020434133
736605454220500540
oct3605537571077511
9570484480467233
10132332202000201
113918a854154715
1212a12a4a848949
1358abb47292138
142496cac837157
1510473e6d235d6
hex785afde47f49

132332202000201 has 16 divisors (see below), whose sum is σ = 201701487064064. Its totient is φ = 75598744636944.

The previous prime is 132332202000197. The next prime is 132332202000223. The reversal of 132332202000201 is 102000202233231.

It is a happy number.

It is not a de Polignac number, because 132332202000201 - 22 = 132332202000197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132332202000241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818938375 + ... + 819099948.

It is an arithmetic number, because the mean of its divisors is an integer number (12606342941504).

Almost surely, 2132332202000201 is an apocalyptic number.

It is an amenable number.

132332202000201 is a deficient number, since it is larger than the sum of its proper divisors (69369285063863).

132332202000201 is a wasteful number, since it uses less digits than its factorization.

132332202000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638042180.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132332202000201 its reverse (102000202233231), we get a palindrome (234332404233432).

The spelling of 132332202000201 in words is "one hundred thirty-two trillion, three hundred thirty-two billion, two hundred two million, two hundred one", and thus it is an aban number.

Divisors: 1 3 7 21 3847 11541 26929 80787 1638038323 4914114969 11466268261 34398804783 6301533428581 18904600285743 44110734000067 132332202000201