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101106051029 is a prime number
BaseRepresentation
bin101111000101001100…
…0111110011111010101
3100122222020212120000122
41132022120332133111
53124031122113104
6114240353321325
710206334153034
oct1361230763725
9318866776018
10101106051029
1139973803665
1217718266245
1396c39cb6c9
144c71cd671b
15296b3b86be
hex178a63e7d5

101106051029 has 2 divisors, whose sum is σ = 101106051030. Its totient is φ = 101106051028.

The previous prime is 101106051017. The next prime is 101106051043. The reversal of 101106051029 is 920150601101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100863408100 + 242642929 = 317590^2 + 15577^2 .

It is a cyclic number.

It is not a de Polignac number, because 101106051029 - 212 = 101106046933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101106050989 and 101106051007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101106051329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50553025514 + 50553025515.

It is an arithmetic number, because the mean of its divisors is an integer number (50553025515).

Almost surely, 2101106051029 is an apocalyptic number.

It is an amenable number.

101106051029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101106051029 is an equidigital number, since it uses as much as digits as its factorization.

101106051029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 26.

The spelling of 101106051029 in words is "one hundred one billion, one hundred six million, fifty-one thousand, twenty-nine".