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31144202993 is a prime number
BaseRepresentation
bin11101000000010101…
…101101001011110001
32222101111022102210202
4131000111231023301
51002240403443433
622150224204545
72151532233431
oct350025551361
988344272722
1031144202993
11122320aa742
126052169755
132c244516a7
1417163b22c1
15c242e1ee8
hex74056d2f1

31144202993 has 2 divisors, whose sum is σ = 31144202994. Its totient is φ = 31144202992.

The previous prime is 31144202983. The next prime is 31144203011. The reversal of 31144202993 is 39920244113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31015788769 + 128414224 = 176113^2 + 11332^2 .

It is a cyclic number.

It is not a de Polignac number, because 31144202993 - 24 = 31144202977 is a prime.

It is a super-5 number, since 5×311442029935 (a number of 54 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (31144202923) 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, 15572101496 + 15572101497.

It is an arithmetic number, because the mean of its divisors is an integer number (15572101497).

Almost surely, 231144202993 is an apocalyptic number.

It is an amenable number.

31144202993 is a deficient number, since it is larger than the sum of its proper divisors (1).

31144202993 is an equidigital number, since it uses as much as digits as its factorization.

31144202993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 31144202993 in words is "thirty-one billion, one hundred forty-four million, two hundred two thousand, nine hundred ninety-three".