Search a number
-
+
122230330131 = 37134310412329
BaseRepresentation
bin111000111010101111…
…1101101001100010011
3102200111102221010021010
41301311133231030103
54000311431031011
6132052444102003
711554660443420
oct1616537551423
9380442833233
10122230330131
1147923920168
121b832834903
13b6ac2a8040
145cb763ad47
1532a5bb41a6
hex1c757ed313

122230330131 has 32 divisors (see below), whose sum is σ = 205247848960. Its totient is φ = 62973759744.

The previous prime is 122230330121. The next prime is 122230330133. The reversal of 122230330131 is 131033032221.

It is not a de Polignac number, because 122230330131 - 215 = 122230297363 is a prime.

It is a super-2 number, since 2×1222303301312 (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 = 122230330098 and 122230330107.

It is not an unprimeable number, because it can be changed into a prime (122230330133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5194426 + ... + 5217903.

It is an arithmetic number, because the mean of its divisors is an integer number (6413995280).

Almost surely, 2122230330131 is an apocalyptic number.

122230330131 is a deficient number, since it is larger than the sum of its proper divisors (83017518829).

122230330131 is a wasteful number, since it uses less digits than its factorization.

122230330131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10412395.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122230330131 its reverse (131033032221), we get a palindrome (253263362352).

The spelling of 122230330131 in words is "one hundred twenty-two billion, two hundred thirty million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 39 43 91 129 273 301 559 903 1677 3913 11739 10412329 31236987 72886303 135360277 218658909 406080831 447730147 947521939 1343190441 2842565817 3134111029 5820491911 9402333087 17461475733 40743443377 122230330131