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310002113101 is a prime number
BaseRepresentation
bin1001000001011011001…
…00001101101001001101
31002122011120200000111111
410200231210031221031
520034341020104401
6354225113052021
731253066325052
oct4405544155115
91078146600444
10310002113101
1110a52012497a
12500b70b7011
13233050a8b25
141100b695029
1580e5837e51
hex482d90da4d

310002113101 has 2 divisors, whose sum is σ = 310002113102. Its totient is φ = 310002113100.

The previous prime is 310002113023. The next prime is 310002113111. The reversal of 310002113101 is 101311200013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301262667876 + 8739445225 = 548874^2 + 93485^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-310002113101 is a prime.

It is a super-2 number, since 2×3100021131012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310002113111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155001056550 + 155001056551.

It is an arithmetic number, because the mean of its divisors is an integer number (155001056551).

Almost surely, 2310002113101 is an apocalyptic number.

It is an amenable number.

310002113101 is a deficient number, since it is larger than the sum of its proper divisors (1).

310002113101 is an equidigital number, since it uses as much as digits as its factorization.

310002113101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 310002113101 its reverse (101311200013), we get a palindrome (411313313114).

The spelling of 310002113101 in words is "three hundred ten billion, two million, one hundred thirteen thousand, one hundred one".