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10132322213 = 13898757409
BaseRepresentation
bin10010110111110111…
…01111011110100101
3222011010202022002002
421123323233132211
5131222333302323
64353230455045
7506042213666
oct113373573645
928133668062
1010132322213
11432a482712
121b69364485
13c56239c40
146c196936d
153e47e9828
hex25beef7a5

10132322213 has 8 divisors (see below), whose sum is σ = 11034336600. Its totient is φ = 9247822848.

The previous prime is 10132322203. The next prime is 10132322219. The reversal of 10132322213 is 31222323101.

It can be written as a sum of positive squares in 4 ways, for example, as 48748324 + 10083573889 = 6982^2 + 100417^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10132322213 - 210 = 10132321189 is a prime.

It is a super-3 number, since 3×101323222133 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132322219) 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 7 ways as a sum of consecutive naturals, for example, 4377548 + ... + 4379861.

It is an arithmetic number, because the mean of its divisors is an integer number (1379292075).

Almost surely, 210132322213 is an apocalyptic number.

10132322213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10132322213 is a deficient number, since it is larger than the sum of its proper divisors (902014387).

10132322213 is an equidigital number, since it uses as much as digits as its factorization.

10132322213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8757511.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10132322213 its reverse (31222323101), we get a palindrome (41354645314).

The spelling of 10132322213 in words is "ten billion, one hundred thirty-two million, three hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 13 89 1157 8757409 113846317 779409401 10132322213