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12313122132 = 22341166715013
BaseRepresentation
bin10110111011110101…
…10101010101010100
31011210010022102011110
423131322311111110
5200204124402012
65353452535020
7614062545153
oct133572652524
934703272143
1012313122132
1152494889a3
122477781470
131212ca82ac
1484b44959a
154c0ec273c
hex2ddeb5554

12313122132 has 48 divisors (see below), whose sum is σ = 29450981952. Its totient is φ = 4001598720.

The previous prime is 12313122109. The next prime is 12313122139. The reversal of 12313122132 is 23122131321.

It is a super-2 number, since 2×123131221322 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12313122099 and 12313122108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313122139) 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, 812658 + ... + 827670.

It is an arithmetic number, because the mean of its divisors is an integer number (613562124).

Almost surely, 212313122132 is an apocalyptic number.

12313122132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12313122132 is an abundant number, since it is smaller than the sum of its proper divisors (17137859820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12313122132 is a wasteful number, since it uses less digits than its factorization.

12313122132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16728 (or 16726 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 12313122132 its reverse (23122131321), we get a palindrome (35435253453).

The spelling of 12313122132 in words is "twelve billion, three hundred thirteen million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 492 1667 3334 5001 6668 10002 15013 20004 30026 45039 60052 68347 90078 136694 180156 205041 273388 410082 615533 820164 1231066 1846599 2462132 3693198 7386396 25026671 50053342 75080013 100106684 150160026 300320052 1026093511 2052187022 3078280533 4104374044 6156561066 12313122132