Search a number
-
+
101232311313 = 372688655179
BaseRepresentation
bin101111001000111101…
…0100111110000010001
3100200022001110020120110
41132101322213300101
53124310432430223
6114301103431533
710212426306600
oct1362172476021
9320261406513
10101232311313
1139a29000901
12177525b55a9
139713c07c33
144c849a1a37
152977508d93
hex1791ea7c11

101232311313 has 12 divisors (see below), whose sum is σ = 157013381040. Its totient is φ = 57847034952.

The previous prime is 101232311303. The next prime is 101232311329. The reversal of 101232311313 is 313113232101.

It is a happy number.

It is not a de Polignac number, because 101232311313 - 26 = 101232311249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101232311313.

It is not an unprimeable number, because it can be changed into a prime (101232311303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344327443 + ... + 344327736.

It is an arithmetic number, because the mean of its divisors is an integer number (13084448420).

Almost surely, 2101232311313 is an apocalyptic number.

It is an amenable number.

101232311313 is a deficient number, since it is larger than the sum of its proper divisors (55781069727).

101232311313 is an equidigital number, since it uses as much as digits as its factorization.

101232311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688655196 (or 688655189 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101232311313 its reverse (313113232101), we get a palindrome (414345543414).

The spelling of 101232311313 in words is "one hundred one billion, two hundred thirty-two million, three hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 7 21 49 147 688655179 2065965537 4820586253 14461758759 33744103771 101232311313