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100122012233 is a prime number
BaseRepresentation
bin101110100111110111…
…1001010101001001001
3100120102200020012120022
41131033233022221021
53120022213342413
6113555002110225
710143055030205
oct1351757125111
9316380205508
10100122012233
11395092a1761
12174a27ab375
139597b8c529
144bbb341b05
15290ecdb608
hex174fbcaa49

100122012233 has 2 divisors, whose sum is σ = 100122012234. Its totient is φ = 100122012232.

The previous prime is 100122012209. The next prime is 100122012257. The reversal of 100122012233 is 332210221001.

It is a balanced prime because it is at equal distance from previous prime (100122012209) and next prime (100122012257).

It can be written as a sum of positive squares in only one way, i.e., 70409561104 + 29712451129 = 265348^2 + 172373^2 .

It is an emirp because it is prime and its reverse (332210221001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100122012233 - 212 = 100122008137 is a prime.

It is not a weakly prime, because it can be changed into another prime (100122012203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061006116 + 50061006117.

It is an arithmetic number, because the mean of its divisors is an integer number (50061006117).

Almost surely, 2100122012233 is an apocalyptic number.

It is an amenable number.

100122012233 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122012233 is an equidigital number, since it uses as much as digits as its factorization.

100122012233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100122012233 its reverse (332210221001), we get a palindrome (432332233234).

The spelling of 100122012233 in words is "one hundred billion, one hundred twenty-two million, twelve thousand, two hundred thirty-three".