Search a number
-
+
100322132013 = 337350899103
BaseRepresentation
bin101110101101110101…
…0100100000000101101
3100120221121210100022000
41131123222210000231
53120424431211023
6114030511242513
710151035023615
oct1353352440055
9316847710260
10100322132013
1139601256704
1217539819439
1395ca4891bc
144bd9b55a45
15292266b243
hex175baa402d

100322132013 has 16 divisors (see below), whose sum is σ = 150661347840. Its totient is φ = 65965236192.

The previous prime is 100322131967. The next prime is 100322132051. The reversal of 100322132013 is 310231223001.

100322132013 is a `hidden beast` number, since 10 + 0 + 322 + 1 + 320 + 13 = 666.

It is not a de Polignac number, because 100322132013 - 210 = 100322130989 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100322132093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25447581 + ... + 25451522.

It is an arithmetic number, because the mean of its divisors is an integer number (9416334240).

Almost surely, 2100322132013 is an apocalyptic number.

It is an amenable number.

100322132013 is a deficient number, since it is larger than the sum of its proper divisors (50339215827).

100322132013 is an equidigital number, since it uses as much as digits as its factorization.

100322132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50899185 (or 50899179 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100322132013 its reverse (310231223001), we get a palindrome (410553355014).

The spelling of 100322132013 in words is "one hundred billion, three hundred twenty-two million, one hundred thirty-two thousand, thirteen".

Divisors: 1 3 9 27 73 219 657 1971 50899103 152697309 458091927 1374275781 3715634519 11146903557 33440710671 100322132013