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31011133301 is a prime number
BaseRepresentation
bin11100111000011010…
…000101011101110101
32222001012220210111122
4130320122011131311
51002002322231201
622125112113325
72145325166231
oct347032053565
988035823448
1031011133301
1112173a81495
126015695845
132c029cc925
1417028535c1
15c177a8e1b
hex738685775

31011133301 has 2 divisors, whose sum is σ = 31011133302. Its totient is φ = 31011133300.

The previous prime is 31011133291. The next prime is 31011133313. The reversal of 31011133301 is 10333111013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17310664900 + 13700468401 = 131570^2 + 117049^2 .

It is an emirp because it is prime and its reverse (10333111013) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31011133301 is a prime.

It is a super-2 number, since 2×310111333012 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31011133301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31011133501) 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, 15505566650 + 15505566651.

It is an arithmetic number, because the mean of its divisors is an integer number (15505566651).

Almost surely, 231011133301 is an apocalyptic number.

It is an amenable number.

31011133301 is a deficient number, since it is larger than the sum of its proper divisors (1).

31011133301 is an equidigital number, since it uses as much as digits as its factorization.

31011133301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 31011133301 its reverse (10333111013), we get a palindrome (41344244314).

The spelling of 31011133301 in words is "thirty-one billion, eleven million, one hundred thirty-three thousand, three hundred one".