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31001311301 is a prime number
BaseRepresentation
bin11100110111110100…
…100111100001000101
32222000112102210020212
4130313310213201011
51001442313430201
622124121405205
72145145540532
oct346764474105
988015383225
1031001311301
1112169483034
126012339805
132c009710ac
141701417d89
15c169b8abb
hex737d27845

31001311301 has 2 divisors, whose sum is σ = 31001311302. Its totient is φ = 31001311300.

The previous prime is 31001311283. The next prime is 31001311309. The reversal of 31001311301 is 10311310013.

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., 30493890625 + 507420676 = 174625^2 + 22526^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31001311301 is a prime.

It is a super-2 number, since 2×310013113012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31001311309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15500655650 + 15500655651.

It is an arithmetic number, because the mean of its divisors is an integer number (15500655651).

Almost surely, 231001311301 is an apocalyptic number.

It is an amenable number.

31001311301 is a deficient number, since it is larger than the sum of its proper divisors (1).

31001311301 is an equidigital number, since it uses as much as digits as its factorization.

31001311301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 31001311301 its reverse (10311310013), we get a palindrome (41312621314).

The spelling of 31001311301 in words is "thirty-one billion, one million, three hundred eleven thousand, three hundred one".