Search a number
-
+
101311221213 = 3211256802357
BaseRepresentation
bin101111001011010011…
…1101000110111011101
3100200111112221021121100
41132112213220313131
53124441133034323
6114313003023313
710214405112606
oct1362647506735
9320445837540
10101311221213
1139a695a7aa4
1217774b0ab39
139727376097
144c91262dad
15297e3e4943
hex17969e8ddd

101311221213 has 6 divisors (see below), whose sum is σ = 146338430654. Its totient is φ = 67540814136.

The previous prime is 101311221211. The next prime is 101311221229. The reversal of 101311221213 is 312122113101.

It can be written as a sum of positive squares in only one way, i.e., 90940242969 + 10370978244 = 301563^2 + 101838^2 .

It is not a de Polignac number, because 101311221213 - 21 = 101311221211 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311221211) 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 5 ways as a sum of consecutive naturals, for example, 5628401170 + ... + 5628401187.

Almost surely, 2101311221213 is an apocalyptic number.

It is an amenable number.

101311221213 is a deficient number, since it is larger than the sum of its proper divisors (45027209441).

101311221213 is a wasteful number, since it uses less digits than its factorization.

101311221213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11256802363 (or 11256802360 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101311221213 its reverse (312122113101), we get a palindrome (413433334314).

The spelling of 101311221213 in words is "one hundred one billion, three hundred eleven million, two hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 9 11256802357 33770407071 101311221213