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103312211201 is a prime number
BaseRepresentation
bin110000000110111100…
…0110011110100000001
3100212200000011002211122
41200031320303310001
53143040411224301
6115243323122025
710315113206633
oct1401570636401
9325600132748
10103312211201
113a8a6060431
1218033073315
139985aa8c24
145000cd8a53
152a49e0081b
hex180de33d01

103312211201 has 2 divisors, whose sum is σ = 103312211202. Its totient is φ = 103312211200.

The previous prime is 103312211161. The next prime is 103312211203. The reversal of 103312211201 is 102112213301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101837574400 + 1474636801 = 319120^2 + 38401^2 .

It is a cyclic number.

It is not a de Polignac number, because 103312211201 - 234 = 86132342017 is a prime.

Together with 103312211203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103312211201.

It is not a weakly prime, because it can be changed into another prime (103312211203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656105600 + 51656105601.

It is an arithmetic number, because the mean of its divisors is an integer number (51656105601).

Almost surely, 2103312211201 is an apocalyptic number.

It is an amenable number.

103312211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

103312211201 is an equidigital number, since it uses as much as digits as its factorization.

103312211201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 103312211201 its reverse (102112213301), we get a palindrome (205424424502).

The spelling of 103312211201 in words is "one hundred three billion, three hundred twelve million, two hundred eleven thousand, two hundred one".