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31132023001 is a prime number
BaseRepresentation
bin11100111111100111…
…001111100011011001
32222100122101121222221
4130333213033203121
51002224244214001
622145111144041
72151323554312
oct347747174331
988318347887
1031132023001
1112226240732
12604a075021
132c21a787b1
141714921609
15c231d81a1
hex73f9cf8d9

31132023001 has 2 divisors, whose sum is σ = 31132023002. Its totient is φ = 31132023000.

The previous prime is 31132022981. The next prime is 31132023011. The reversal of 31132023001 is 10032023113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20666937600 + 10465085401 = 143760^2 + 102299^2 .

It is a cyclic number.

It is not a de Polignac number, because 31132023001 - 25 = 31132022969 is a prime.

It is a super-2 number, since 2×311320230012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31132023011) 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, 15566011500 + 15566011501.

It is an arithmetic number, because the mean of its divisors is an integer number (15566011501).

Almost surely, 231132023001 is an apocalyptic number.

It is an amenable number.

31132023001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31132023001 is an equidigital number, since it uses as much as digits as its factorization.

31132023001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31132023001 its reverse (10032023113), we get a palindrome (41164046114).

The spelling of 31132023001 in words is "thirty-one billion, one hundred thirty-two million, twenty-three thousand, one".