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31801201049 is a prime number
BaseRepresentation
bin11101100111011111…
…111101000110011001
310001002021120101201002
4131213133331012121
51010112101413144
622335334034345
72204030514602
oct354737750631
9101067511632
1031801201049
1112539a49042
1261b61a89b5
132cca5b5a37
141779754da9
15c61d1d14e
hex7677fd199

31801201049 has 2 divisors, whose sum is σ = 31801201050. Its totient is φ = 31801201048.

The previous prime is 31801200979. The next prime is 31801201051. The reversal of 31801201049 is 94010210813.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31724953225 + 76247824 = 178115^2 + 8732^2 .

It is a cyclic number.

It is not a de Polignac number, because 31801201049 - 220 = 31800152473 is a prime.

It is a super-2 number, since 2×318012010492 (a number of 22 digits) contains 22 as substring.

Together with 31801201051, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (31801201349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15900600524 + 15900600525.

It is an arithmetic number, because the mean of its divisors is an integer number (15900600525).

Almost surely, 231801201049 is an apocalyptic number.

It is an amenable number.

31801201049 is a deficient number, since it is larger than the sum of its proper divisors (1).

31801201049 is an equidigital number, since it uses as much as digits as its factorization.

31801201049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 31801201049 in words is "thirty-one billion, eight hundred one million, two hundred one thousand, forty-nine".