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31131330301 is a prime number
BaseRepresentation
bin11100111111100100…
…100110011011111101
32222100121002102210101
4130333210212123331
51002224110032201
622145044241101
72151314640631
oct347744463375
988317072711
1031131330301
1112225908255
1260499a0191
132c21895406
1417147c0dc1
15c230ecd01
hex73f9266fd

31131330301 has 2 divisors, whose sum is σ = 31131330302. Its totient is φ = 31131330300.

The previous prime is 31131330287. The next prime is 31131330313. The reversal of 31131330301 is 10303313113.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28713641401 + 2417688900 = 169451^2 + 49170^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31131330301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31131330341) 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, 15565665150 + 15565665151.

It is an arithmetic number, because the mean of its divisors is an integer number (15565665151).

Almost surely, 231131330301 is an apocalyptic number.

It is an amenable number.

31131330301 is a deficient number, since it is larger than the sum of its proper divisors (1).

31131330301 is an equidigital number, since it uses as much as digits as its factorization.

31131330301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 31131330301 its reverse (10303313113), we get a palindrome (41434643414).

The spelling of 31131330301 in words is "thirty-one billion, one hundred thirty-one million, three hundred thirty thousand, three hundred one".