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312131002332 = 2231737472833109
BaseRepresentation
bin1001000101011000111…
…01010001111111011100
31002211122221112210111210
410202230131101333130
520103221014033312
6355220242344420
731356616513152
oct4425435217734
91084587483453
10312131002332
111104128a4966
12505b005b110
13235841701b6
14111703013d2
1581bc6a9e3c
hex48ac751fdc

312131002332 has 192 divisors, whose sum is σ = 811958999040. Its totient is φ = 92890312704.

The previous prime is 312131002283. The next prime is 312131002363. The reversal of 312131002332 is 233200131213.

It is a junction number, because it is equal to n+sod(n) for n = 312131002299 and 312131002308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100394394 + ... + 100397502.

It is an arithmetic number, because the mean of its divisors is an integer number (4228953120).

Almost surely, 2312131002332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312131002332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405979499520).

312131002332 is an abundant number, since it is smaller than the sum of its proper divisors (499827996708).

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

312131002332 is a wasteful number, since it uses less digits than its factorization.

312131002332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3498 counting only the distinct ones).

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

Adding to 312131002332 its reverse (233200131213), we get a palindrome (545331133545).

The spelling of 312131002332 in words is "three hundred twelve billion, one hundred thirty-one million, two thousand, three hundred thirty-two".