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2310002223313 is a prime number
BaseRepresentation
bin100001100111010110110…
…111001010100011010001
322011211112000201110122111
4201213112313022203101
5300321341032121223
64525111140305321
7325615002632341
oct41472667124321
98154460643574
102310002223313
11810737040544
1231383b0a2241
13139aa867b3c5
147db3a172d21
154014d83830d
hex219d6dca8d1

2310002223313 has 2 divisors, whose sum is σ = 2310002223314. Its totient is φ = 2310002223312.

The previous prime is 2310002223307. The next prime is 2310002223379. The reversal of 2310002223313 is 3133222000132.

2310002223313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2041960976784 + 268041246529 = 1428972^2 + 517727^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2310002223313 is a prime.

It is a super-2 number, since 2×23100022233132 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2310002223013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1155001111656 + 1155001111657.

It is an arithmetic number, because the mean of its divisors is an integer number (1155001111657).

Almost surely, 22310002223313 is an apocalyptic number.

It is an amenable number.

2310002223313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2310002223313 is an equidigital number, since it uses as much as digits as its factorization.

2310002223313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2310002223313 its reverse (3133222000132), we get a palindrome (5443224223445).

The spelling of 2310002223313 in words is "two trillion, three hundred ten billion, two million, two hundred twenty-three thousand, three hundred thirteen".