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103312210033 is a prime number
BaseRepresentation
bin110000000110111100…
…0110011100001110001
3100212200000011001020101
41200031320303201301
53143040411210113
6115243323112401
710315113203344
oct1401570634161
9325600131211
10103312210033
113a8a605a56a
1218033072701
139985aa8536
145000cd845b
152a49e002dd
hex180de33871

103312210033 has 2 divisors, whose sum is σ = 103312210034. Its totient is φ = 103312210032.

The previous prime is 103312210009. The next prime is 103312210049. The reversal of 103312210033 is 330012213301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97974008064 + 5338201969 = 313008^2 + 73063^2 .

It is an emirp because it is prime and its reverse (330012213301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103312210033 is a prime.

It is a super-2 number, since 2×1033122100332 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103312250033) 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, 51656105016 + 51656105017.

It is an arithmetic number, because the mean of its divisors is an integer number (51656105017).

Almost surely, 2103312210033 is an apocalyptic number.

It is an amenable number.

103312210033 is a deficient number, since it is larger than the sum of its proper divisors (1).

103312210033 is an equidigital number, since it uses as much as digits as its factorization.

103312210033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 103312210033 its reverse (330012213301), we get a palindrome (433324423334).

The spelling of 103312210033 in words is "one hundred three billion, three hundred twelve million, two hundred ten thousand, thirty-three".