Search a number
-
+
213101322421311 = 32111765587323201
BaseRepresentation
bin110000011101000010000100…
…100111111100010000111111
31000221112021202120010220002200
4300131002010213330100333
5210412423002014440221
62033121221313122543
762613030266420352
oct6035020447742077
91027467676126080
10213101322421311
116199a843a6a915
121ba98569859453
1391ba4a371223c
143a8a232586299
1519983c3ace426
hexc1d0849fc43f

213101322421311 has 24 divisors (see below), whose sum is σ = 308094243126384. Its totient is φ = 141937758259200.

The previous prime is 213101322421297. The next prime is 213101322421321. The reversal of 213101322421311 is 113124223101312.

213101322421311 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 0 + 1 + 322 + 4 + 21 + 311 = 666.

It is not a de Polignac number, because 213101322421311 - 227 = 213101188203583 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213101322421321) by changing a digit.

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, 659184511 + ... + 659507711.

It is an arithmetic number, because the mean of its divisors is an integer number (12837260130266).

Almost surely, 2213101322421311 is an apocalyptic number.

213101322421311 is a deficient number, since it is larger than the sum of its proper divisors (94992920705073).

213101322421311 is a wasteful number, since it uses less digits than its factorization.

213101322421311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389911 (or 389908 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 213101322421311 its reverse (113124223101312), we get a palindrome (326225545522623).

The spelling of 213101322421311 in words is "two hundred thirteen trillion, one hundred one billion, three hundred twenty-two million, four hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 9 1117 3351 10053 65587 196761 323201 590283 969603 2908809 73260679 219782037 361015517 659346111 1083046551 3249139653 21197783987 63593351961 190780055883 23677924713479 71033774140437 213101322421311