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122312343131 = 11210315716247
BaseRepresentation
bin111000111101001100…
…0100011111001011011
3102200201011020210221122
41301322120203321123
54000443424440011
6132104533555455
711560004522366
oct1617230437133
9380634223848
10122312343131
1147966146800
121b8561a5b8b
13b6c3291744
145cc44a90dd
1532aceb43db
hex1c7a623e5b

122312343131 has 24 divisors (see below), whose sum is σ = 135855912192. Its totient is φ = 110025788400.

The previous prime is 122312343089. The next prime is 122312343137. The reversal of 122312343131 is 131343213221.

It is a happy number.

It is not a de Polignac number, because 122312343131 - 218 = 122312080987 is a prime.

It is a super-2 number, since 2×1223123431312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122312343131.

It is not an unprimeable number, because it can be changed into a prime (122312343137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19576250 + ... + 19582496.

It is an arithmetic number, because the mean of its divisors is an integer number (5660663008).

Almost surely, 2122312343131 is an apocalyptic number.

122312343131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122312343131 is a deficient number, since it is larger than the sum of its proper divisors (13543569061).

122312343131 is a wasteful number, since it uses less digits than its factorization.

122312343131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7943 (or 7932 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

Adding to 122312343131 its reverse (131343213221), we get a palindrome (253655556352).

The spelling of 122312343131 in words is "one hundred twenty-two billion, three hundred twelve million, three hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 11 103 121 1133 1571 6247 12463 17281 68717 161813 190091 643441 755887 1779943 7077851 9814037 19579373 77856361 107954407 1010845811 1187498477 11119303921 122312343131