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310001000021 is a prime number
BaseRepresentation
bin1001000001011010111…
…11111101111001010101
31002122011111120110122022
410200231133331321111
520034340224000041
6354225033142525
731253054010656
oct4405537757125
91078144513568
10310001000021
1110a51a534679
12500b685aa45
1323304aa92bb
141100b48552d
1580e56b824b
hex482d7fde55

310001000021 has 2 divisors, whose sum is σ = 310001000022. Its totient is φ = 310001000020.

The previous prime is 310001000009. The next prime is 310001000051. The reversal of 310001000021 is 120000100013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 276954850225 + 33046149796 = 526265^2 + 181786^2 .

It is a cyclic number.

It is not a de Polignac number, because 310001000021 - 222 = 309996805717 is a prime.

It is a super-2 number, since 2×3100010000212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 310000999972 and 310001000008.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310001000051) 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, 155000500010 + 155000500011.

It is an arithmetic number, because the mean of its divisors is an integer number (155000500011).

Almost surely, 2310001000021 is an apocalyptic number.

It is an amenable number.

310001000021 is a deficient number, since it is larger than the sum of its proper divisors (1).

310001000021 is an equidigital number, since it uses as much as digits as its factorization.

310001000021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 310001000021 its reverse (120000100013), we get a palindrome (430001100034).

The spelling of 310001000021 in words is "three hundred ten billion, one million, twenty-one", and thus it is an aban number.