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312111302031 = 3427724595657
BaseRepresentation
bin1001000101010110100…
…10001000010110001111
31002211121120110220210000
410202223102020112033
520103200443131111
6355214300215343
731356260202654
oct4425322102617
91084546426700
10312111302031
11110402769821
12505a553a553
1323580063309
141116b853c2b
1581baab7c56
hex48ab48858f

312111302031 has 40 divisors (see below), whose sum is σ = 468196557840. Its totient is φ = 207202084992.

The previous prime is 312111301979. The next prime is 312111302051. The reversal of 312111302031 is 130203111213.

It is not a de Polignac number, because 312111302031 - 218 = 312111039887 is a prime.

It is a super-2 number, since 2×3121113020312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312111301995 and 312111302013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312111302051) 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 39 ways as a sum of consecutive naturals, for example, 55169755 + ... + 55175411.

It is an arithmetic number, because the mean of its divisors is an integer number (11704913946).

Almost surely, 2312111302031 is an apocalyptic number.

312111302031 is a deficient number, since it is larger than the sum of its proper divisors (156085255809).

312111302031 is a wasteful number, since it uses less digits than its factorization.

312111302031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8405 (or 8396 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312111302031 its reverse (130203111213), we get a palindrome (442314413244).

The spelling of 312111302031 in words is "three hundred twelve billion, one hundred eleven million, three hundred two thousand, thirty-one".

Divisors: 1 3 9 27 81 277 831 2459 2493 5657 7377 7479 16971 22131 22437 50913 66393 152739 199179 458217 681143 1566989 2043429 4700967 6130287 13910563 14102901 18390861 41731689 42308703 55172583 125195067 126926109 375585201 1126755603 3853225951 11559677853 34679033559 104037100677 312111302031