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106933468321 is a prime number
BaseRepresentation
bin110001110010110111…
…0110011110010100001
3101020000101012000201201
41203211232303302201
53222444431441241
6121042523201201
710503624324601
oct1434556636241
9336011160651
10106933468321
1141394178509
1218883976201
13a1120bc714
145265c1cc01
152baccb0931
hex18e5bb3ca1

106933468321 has 2 divisors, whose sum is σ = 106933468322. Its totient is φ = 106933468320.

The previous prime is 106933468309. The next prime is 106933468331. The reversal of 106933468321 is 123864339601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63101440000 + 43832028321 = 251200^2 + 209361^2 .

It is a cyclic number.

It is not a de Polignac number, because 106933468321 - 27 = 106933468193 is a prime.

It is a super-2 number, since 2×1069334683212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106933468331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53466734160 + 53466734161.

It is an arithmetic number, because the mean of its divisors is an integer number (53466734161).

Almost surely, 2106933468321 is an apocalyptic number.

It is an amenable number.

106933468321 is a deficient number, since it is larger than the sum of its proper divisors (1).

106933468321 is an equidigital number, since it uses as much as digits as its factorization.

106933468321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 106933468321 in words is "one hundred six billion, nine hundred thirty-three million, four hundred sixty-eight thousand, three hundred twenty-one".