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312122051401 = 3141617156701
BaseRepresentation
bin1001000101010111110…
…11001000101101001001
31002211122022201001010211
410202223323020231021
520103211221121101
6355215322441121
731356450443146
oct4425373105511
91084568631124
10312122051401
111104088409a6
12505a90631a1
1323582357ca4
141116d0513cd
1581bb9dcc51
hex48abec8b49

312122051401 has 32 divisors (see below), whose sum is σ = 340190226432. Its totient is φ = 285768000000.

The previous prime is 312122051359. The next prime is 312122051447. The reversal of 312122051401 is 104150221213.

It is a cyclic number.

It is not a de Polignac number, because 312122051401 - 213 = 312122043209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312122051491) 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 31 ways as a sum of consecutive naturals, for example, 5476351 + ... + 5533051.

It is an arithmetic number, because the mean of its divisors is an integer number (10630944576).

Almost surely, 2312122051401 is an apocalyptic number.

312122051401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312122051401 is a deficient number, since it is larger than the sum of its proper divisors (28068175031).

312122051401 is a wasteful number, since it uses less digits than its factorization.

312122051401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56905.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 312122051401 its reverse (104150221213), we get a palindrome (416272272614).

The spelling of 312122051401 in words is "three hundred twelve billion, one hundred twenty-two million, fifty-one thousand, four hundred one".

Divisors: 1 31 41 61 71 1271 1891 2201 2501 2911 4331 56701 77531 90241 134261 177571 1757731 2324741 3458761 4025771 5504701 72066971 107221591 124798901 141809201 165056611 245572031 4396085231 5116754941 7612732961 10068453271 312122051401