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312231200232 = 23376592820211
BaseRepresentation
bin1001000101100100110…
…11100000010111101000
31002211220221002101012010
410202302123200113220
520103422141401412
6355234222115520
731362244261260
oct4426233402750
91084827071163
10312231200232
11110464411046
125061971bba0
132359bb52ab3
141117d7447a0
1581c639d33c
hex48b26e05e8

312231200232 has 64 divisors (see below), whose sum is σ = 893443161600. Its totient is φ = 89073512640.

The previous prime is 312231200221. The next prime is 312231200263. The reversal of 312231200232 is 232002132213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 312231200199 and 312231200208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1299394 + ... + 1520817.

It is an arithmetic number, because the mean of its divisors is an integer number (13960049400).

Almost surely, 2312231200232 is an apocalyptic number.

It is an amenable number.

312231200232 is an abundant number, since it is smaller than the sum of its proper divisors (581211961368).

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

312231200232 is a wasteful number, since it uses less digits than its factorization.

312231200232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820886 (or 2820882 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 312231200232 its reverse (232002132213), we get a palindrome (544233332445).

The spelling of 312231200232 in words is "three hundred twelve billion, two hundred thirty-one million, two hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 659 1318 1977 2636 3954 4613 5272 7908 9226 13839 15816 18452 27678 36904 55356 110712 2820211 5640422 8460633 11280844 16921266 19741477 22561688 33842532 39482954 59224431 67685064 78965908 118448862 157931816 236897724 473795448 1858519049 3717038098 5575557147 7434076196 11151114294 13009633343 14868152392 22302228588 26019266686 39028900029 44604457176 52038533372 78057800058 104077066744 156115600116 312231200232