Search a number
-
+
122313112131 = 3723253236257
BaseRepresentation
bin111000111101001101…
…1011111101001000011
3102200201012200212211010
41301322123133221003
54000444124042011
6132105002252003
711560014204360
oct1617233375103
9380635625733
10122313112131
1147966621541
121b8564b7003
13b6c34a0782
145cc4629467
1532ad0b71a6
hex1c7a6dfa43

122313112131 has 16 divisors (see below), whose sum is σ = 194485446144. Its totient is φ = 66854371584.

The previous prime is 122313112081. The next prime is 122313112169. The reversal of 122313112131 is 131211313221.

It is not a de Polignac number, because 122313112131 - 26 = 122313112067 is a prime.

It is a super-2 number, since 2×1223131121312 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 122313112098 and 122313112107.

It is not an unprimeable number, because it can be changed into a prime (122313112331) 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, 126617646 + ... + 126618611.

It is an arithmetic number, because the mean of its divisors is an integer number (12155340384).

Almost surely, 2122313112131 is an apocalyptic number.

122313112131 is a deficient number, since it is larger than the sum of its proper divisors (72172334013).

122313112131 is a wasteful number, since it uses less digits than its factorization.

122313112131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253236290.

The product of its digits is 216, while the sum is 21.

Adding to 122313112131 its reverse (131211313221), we get a palindrome (253524425352).

The spelling of 122313112131 in words is "one hundred twenty-two billion, three hundred thirteen million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 7 21 23 69 161 483 253236257 759708771 1772653799 5317961397 5824433911 17473301733 40771037377 122313112131