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312132232122 = 23232978799103
BaseRepresentation
bin1001000101011001000…
…01111110001110111010
31002211200000212021110120
410202230201332032322
520103221322411442
6355220324554110
731356633124434
oct4425441761672
91084600767416
10312132232122
11110413564917
12505b0552936
13235844b0b99
1411170541654
1581bc84e4ec
hex48ac87e3ba

312132232122 has 64 divisors (see below), whose sum is σ = 674731745280. Its totient is φ = 95965619904.

The previous prime is 312132232109. The next prime is 312132232141. The reversal of 312132232122 is 221232231213.

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 = 312132232092 and 312132232101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3100023 + ... + 3199125.

It is an arithmetic number, because the mean of its divisors is an integer number (10542683520).

Almost surely, 2312132232122 is an apocalyptic number.

312132232122 is an abundant number, since it is smaller than the sum of its proper divisors (362599513158).

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

312132232122 is a wasteful number, since it uses less digits than its factorization.

312132232122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99947.

The product of its digits is 1728, while the sum is 24.

Adding to 312132232122 its reverse (221232231213), we get a palindrome (533364463335).

Subtracting from 312132232122 its reverse (221232231213), we obtain a palindrome (90900000909).

The spelling of 312132232122 in words is "three hundred twelve billion, one hundred thirty-two million, two hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 23 29 46 58 69 87 138 174 667 787 1334 1574 2001 2361 4002 4722 18101 22823 36202 45646 54303 68469 99103 108606 136938 198206 297309 524929 594618 1049858 1574787 2279369 2873987 3149574 4558738 5747974 6838107 8621961 13676214 17243922 66101701 77994061 132203402 155988122 198305103 233982183 396610206 467964366 1793863403 2261827769 3587726806 4523655538 5381590209 6785483307 10763180418 13570966614 52022038687 104044077374 156066116061 312132232122