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2431335312389 is a prime number
BaseRepresentation
bin100011011000010110111…
…000001010110000000101
322121102200221100000120102
4203120112320022300011
5304313333314444024
65100535013413445
7340441520110664
oct43302670126005
98542627300512
102431335312389
1185813a443175
1233326133a285
13148373ab7779
148596a570ddb
15433a08681ae
hex23616e0ac05

2431335312389 has 2 divisors, whose sum is σ = 2431335312390. Its totient is φ = 2431335312388.

The previous prime is 2431335312311. The next prime is 2431335312391. The reversal of 2431335312389 is 9832135331342.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2224348530625 + 206986781764 = 1491425^2 + 454958^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2431335312389 is a prime.

It is a super-2 number, since 2×24313353123892 (a number of 26 digits) contains 22 as substring.

Together with 2431335312391, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2431335312689) 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 as a sum of consecutive naturals, namely, 1215667656194 + 1215667656195.

It is an arithmetic number, because the mean of its divisors is an integer number (1215667656195).

Almost surely, 22431335312389 is an apocalyptic number.

It is an amenable number.

2431335312389 is a deficient number, since it is larger than the sum of its proper divisors (1).

2431335312389 is an equidigital number, since it uses as much as digits as its factorization.

2431335312389 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1399680, while the sum is 47.

The spelling of 2431335312389 in words is "two trillion, four hundred thirty-one billion, three hundred thirty-five million, three hundred twelve thousand, three hundred eighty-nine".