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312120020032 = 264876875313
BaseRepresentation
bin1001000101010111100…
…11011000110001000000
31002211122011212211121221
410202223303120301000
520103210211120112
6355215211124424
731356424252612
oct4425363306100
91084564784557
10312120020032
11110407683787
12505a8443714
1323581ac64b2
141116ca82db2
1581bb73ae07
hex48abcd8c40

312120020032 has 14 divisors (see below), whose sum is σ = 619363164878. Its totient is φ = 156060009984.

The previous prime is 312120019999. The next prime is 312120020039. The reversal of 312120020032 is 230020021213.

It can be written as a sum of positive squares in only one way, i.e., 244486735936 + 67633284096 = 494456^2 + 260064^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 312120019988 and 312120020015.

It is not an unprimeable number, because it can be changed into a prime (312120020039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2438437593 + ... + 2438437720.

Almost surely, 2312120020032 is an apocalyptic number.

312120020032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312120020032 is a deficient number, since it is larger than the sum of its proper divisors (307243144846).

312120020032 is an equidigital number, since it uses as much as digits as its factorization.

312120020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876875325 (or 4876875315 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 312120020032 its reverse (230020021213), we get a palindrome (542140041245).

The spelling of 312120020032 in words is "three hundred twelve billion, one hundred twenty million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 4876875313 9753750626 19507501252 39015002504 78030005008 156060010016 312120020032