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312003233431 is a prime number
BaseRepresentation
bin1001000101001001101…
…01111000011010010111
31002211100001010110112021
410202210311320122113
520102440311432211
6355155440034011
731353505504111
oct4424465703227
91084301113467
10312003233431
1111035776722a
1250575302907
13235638560b6
141115b3623b1
1581b136c771
hex48a4d78697

312003233431 has 2 divisors, whose sum is σ = 312003233432. Its totient is φ = 312003233430.

The previous prime is 312003233419. The next prime is 312003233449. The reversal of 312003233431 is 134332300213.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 312003233431 - 219 = 312002709143 is a prime.

It is a super-3 number, since 3×3120032334313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 312003233396 and 312003233405.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312003233131) 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 as a sum of consecutive naturals, namely, 156001616715 + 156001616716.

It is an arithmetic number, because the mean of its divisors is an integer number (156001616716).

Almost surely, 2312003233431 is an apocalyptic number.

312003233431 is a deficient number, since it is larger than the sum of its proper divisors (1).

312003233431 is an equidigital number, since it uses as much as digits as its factorization.

312003233431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 312003233431 its reverse (134332300213), we get a palindrome (446335533644).

The spelling of 312003233431 in words is "three hundred twelve billion, three million, two hundred thirty-three thousand, four hundred thirty-one".