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103312121321 is a prime number
BaseRepresentation
bin110000000110111100…
…0011101110111101001
3100212122222222112112202
41200031320131313221
53143040400340241
6115243321145545
710315112353613
oct1401570356751
9325588875482
10103312121321
113a8a5aa9952
121803302b2b5
139985a77046
145000cb3db3
152a49dd3d9b
hex180de1dde9

103312121321 has 2 divisors, whose sum is σ = 103312121322. Its totient is φ = 103312121320.

The previous prime is 103312121293. The next prime is 103312121329. The reversal of 103312121321 is 123121213301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91484471296 + 11827650025 = 302464^2 + 108755^2 .

It is a cyclic number.

It is not a de Polignac number, because 103312121321 - 234 = 86132252137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103312121293 and 103312121302.

It is not a weakly prime, because it can be changed into another prime (103312121329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656060660 + 51656060661.

It is an arithmetic number, because the mean of its divisors is an integer number (51656060661).

Almost surely, 2103312121321 is an apocalyptic number.

It is an amenable number.

103312121321 is a deficient number, since it is larger than the sum of its proper divisors (1).

103312121321 is an equidigital number, since it uses as much as digits as its factorization.

103312121321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 103312121321 its reverse (123121213301), we get a palindrome (226433334622).

The spelling of 103312121321 in words is "one hundred three billion, three hundred twelve million, one hundred twenty-one thousand, three hundred twenty-one".