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312232122024 = 23313009671751
BaseRepresentation
bin1001000101100100111…
…11000001011010101000
31002211220222211012122120
410202302133001122220
520103422410401044
6355234253551240
731362255150564
oct4426237013250
91084828735576
10312232122024
11110464990659
1250619aa5520
132359c0b6534
141117d9046a4
1581c64d1519
hex48b27c16a8

312232122024 has 16 divisors (see below), whose sum is σ = 780580305120. Its totient is φ = 104077374000.

The previous prime is 312232122023. The next prime is 312232122043. The reversal of 312232122024 is 420221232213.

It is a super-2 number, since 2×3122321220242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 13009671751 = 312232122024 / (3 + 1 + 2 + 2 + 3 + 2 + 1 + 2 + 2 + 0 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 312232121985 and 312232122003.

It is not an unprimeable number, because it can be changed into a prime (312232122023) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6504835852 + ... + 6504835899.

It is an arithmetic number, because the mean of its divisors is an integer number (48786269070).

Almost surely, 2312232122024 is an apocalyptic number.

It is an amenable number.

312232122024 is an abundant number, since it is smaller than the sum of its proper divisors (468348183096).

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

312232122024 is a wasteful number, since it uses less digits than its factorization.

312232122024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13009671760 (or 13009671756 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 312232122024 its reverse (420221232213), we get a palindrome (732453354237).

The spelling of 312232122024 in words is "three hundred twelve billion, two hundred thirty-two million, one hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 13009671751 26019343502 39029015253 52038687004 78058030506 104077374008 156116061012 312232122024