Search a number
-
+
122314312131 = 31147389202729
BaseRepresentation
bin111000111101010000…
…0000100100111000011
3102200201021221211220120
41301322200010213003
54000444430442011
6132105044111323
711560030333044
oct1617240044703
9380637854816
10122314312131
1147967271080
121b856995543
13b6c3800a2b
145cc485c8cb
1532ad252a06
hex1c7a8049c3

122314312131 has 32 divisors (see below), whose sum is σ = 182165068800. Its totient is φ = 72365786880.

The previous prime is 122314312117. The next prime is 122314312147. The reversal of 122314312131 is 131213413221.

It is not a de Polignac number, because 122314312131 - 26 = 122314312067 is a prime.

It is a super-2 number, since 2×1223143121312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122314312181) 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, 501975 + ... + 704703.

It is an arithmetic number, because the mean of its divisors is an integer number (5692658400).

Almost surely, 2122314312131 is an apocalyptic number.

122314312131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122314312131 is a deficient number, since it is larger than the sum of its proper divisors (59850756669).

122314312131 is a wasteful number, since it uses less digits than its factorization.

122314312131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203179.

The product of its digits is 864, while the sum is 24.

Adding to 122314312131 its reverse (131213413221), we get a palindrome (253527725352).

The spelling of 122314312131 in words is "one hundred twenty-two billion, three hundred fourteen million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 11 33 47 141 389 517 1167 1551 4279 12837 18283 54849 201113 202729 603339 608187 2230019 6690057 9528263 28584789 78861581 104810893 236584743 314432679 867477391 2602432173 3706494307 11119482921 40771437377 122314312131