Search a number
-
+
122131330011113 = 1929863919279479
BaseRepresentation
bin11011110001001111101010…
…100010101000111111101001
3121000102122022101012200210012
4123301033222202220333221
5112001444430440323423
61111430205231501305
734503461132313053
oct3361175242507751
9530378271180705
10122131330011113
1135a0767391a165
1211845a53387835
13531bc2027a897
14222328b8bc8d3
15e1bdb2114078
hex6f13ea8a8fe9

122131330011113 has 32 divisors (see below), whose sum is σ = 133291837440000. Its totient is φ = 111462328176192.

The previous prime is 122131330011077. The next prime is 122131330011127. The reversal of 122131330011113 is 311110033131221.

It is a cyclic number.

It is not a de Polignac number, because 122131330011113 - 210 = 122131330010089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122131330011193) 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, 436856708 + ... + 437136186.

It is an arithmetic number, because the mean of its divisors is an integer number (4165369920000).

Almost surely, 2122131330011113 is an apocalyptic number.

It is an amenable number.

122131330011113 is a deficient number, since it is larger than the sum of its proper divisors (11160507428887).

122131330011113 is a wasteful number, since it uses less digits than its factorization.

122131330011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281309.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 122131330011113 its reverse (311110033131221), we get a palindrome (433241363142334).

The spelling of 122131330011113 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred thirty million, eleven thousand, one hundred thirteen".

Divisors: 1 19 29 551 863 919 16397 17461 25027 26651 279479 475513 506369 793097 5310101 8104891 15068843 22999813 153992929 241190377 256841201 436996447 4582617163 4879982819 6994520933 7448394829 132895897727 141519501751 221653956463 4211425172797 6427964737427 122131330011113