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310213013013221 is a prime number
BaseRepresentation
bin100011010001000110001100…
…0011100100000001011100101
31111200101002000020202002102112
41012202030120130200023211
5311130012222312410341
63015433520225250405
7122225102435645423
oct10642143034401345
91450332006662375
10310213013013221
118a93066667811a
122a96143a493a05
1310412c66859416
145686565ddc113
1525ce544398aeb
hex11a23187202e5

310213013013221 has 2 divisors, whose sum is σ = 310213013013222. Its totient is φ = 310213013013220.

The previous prime is 310213013013209. The next prime is 310213013013301. The reversal of 310213013013221 is 122310310312013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310206849036100 + 6163977121 = 17612690^2 + 78511^2 .

It is a cyclic number.

It is not a de Polignac number, because 310213013013221 - 210 = 310213013012197 is a prime.

It is a super-2 number, since 2×3102130130132212 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310213013013121) 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, 155106506506610 + 155106506506611.

It is an arithmetic number, because the mean of its divisors is an integer number (155106506506611).

Almost surely, 2310213013013221 is an apocalyptic number.

It is an amenable number.

310213013013221 is a deficient number, since it is larger than the sum of its proper divisors (1).

310213013013221 is an equidigital number, since it uses as much as digits as its factorization.

310213013013221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 310213013013221 its reverse (122310310312013), we get a palindrome (432523323325234).

The spelling of 310213013013221 in words is "three hundred ten trillion, two hundred thirteen billion, thirteen million, thirteen thousand, two hundred twenty-one".