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312330133031 = 762327715879
BaseRepresentation
bin1001000101110000101…
…00111001111000100111
31002212011211020200110212
410202320110321320213
520104123003224111
6355252114410035
731364555220140
oct4427024717047
91085154220425
10312330133031
11110505243794
125064689091b
13235b64b1907
141118c938ac7
1581cede198b
hex48b8539e27

312330133031 has 8 divisors (see below), whose sum is σ = 356954949120. Its totient is φ = 267706873368.

The previous prime is 312330133021. The next prime is 312330133051. The reversal of 312330133031 is 130331033213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312330133031 is a prime.

It is a super-2 number, since 2×3123301330312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312330132988 and 312330133006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312330133001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78350 + ... + 794228.

It is an arithmetic number, because the mean of its divisors is an integer number (44619368640).

Almost surely, 2312330133031 is an apocalyptic number.

312330133031 is a deficient number, since it is larger than the sum of its proper divisors (44624816089).

312330133031 is an equidigital number, since it uses as much as digits as its factorization.

312330133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778213.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 312330133031 its reverse (130331033213), we get a palindrome (442661166244).

The spelling of 312330133031 in words is "three hundred twelve billion, three hundred thirty million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 7 62327 436289 715879 5011153 44618590433 312330133031