Search a number
-
+
210132332313201 = 338393767216561
BaseRepresentation
bin101111110001110100111111…
…000001011111101001110001
31000120000110021112110100021000
4233301310333001133221301
5210020302004033010301
62022525243311152213
762155363041042324
oct5761647701375161
91016013245410230
10210132332313201
1160a556924a7971
121b699078b15669
139033517568bbc
1439c665dc9c7bb
15194605699b786
hexbf1d3f05fa71

210132332313201 has 16 divisors (see below), whose sum is σ = 315057847648320. Its totient is φ = 138400411642560.

The previous prime is 210132332313149. The next prime is 210132332313223. The reversal of 210132332313201 is 102313233231012.

210132332313201 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 3 + 2 + 332 + 3 + 1 + 320 + 1 = 666.

It is not a de Polignac number, because 210132332313201 - 219 = 210132331788913 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (210132332313251) 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, 46883606040 + ... + 46883610521.

It is an arithmetic number, because the mean of its divisors is an integer number (19691115478020).

Almost surely, 2210132332313201 is an apocalyptic number.

It is an amenable number.

210132332313201 is a deficient number, since it is larger than the sum of its proper divisors (104925515335119).

210132332313201 is an equidigital number, since it uses as much as digits as its factorization.

210132332313201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93767216653 (or 93767216647 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 210132332313201 its reverse (102313233231012), we get a palindrome (312445565544213).

The spelling of 210132332313201 in words is "two hundred ten trillion, one hundred thirty-two billion, three hundred thirty-two million, three hundred thirteen thousand, two hundred one".

Divisors: 1 3 9 27 83 249 747 2241 93767216561 281301649683 843904949049 2531714847147 7782678974563 23348036923689 70044110771067 210132332313201