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101111010029 is a prime number
BaseRepresentation
bin101111000101010101…
…1111001001011101101
3100122222121012111111022
41132022223321023231
53124033404310104
6114241051503525
710206424255541
oct1361253711355
9318877174438
10101111010029
1139976590407
1217719a57ba5
1396c4a46923
144c72827a21
15296ba47bbe
hex178aaf92ed

101111010029 has 2 divisors, whose sum is σ = 101111010030. Its totient is φ = 101111010028.

The previous prime is 101111009999. The next prime is 101111010031. The reversal of 101111010029 is 920010111101.

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., 82019232100 + 19091777929 = 286390^2 + 138173^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111010029 - 28 = 101111009773 is a prime.

Together with 101111010031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111009989 and 101111010016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111010529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555505014 + 50555505015.

It is an arithmetic number, because the mean of its divisors is an integer number (50555505015).

Almost surely, 2101111010029 is an apocalyptic number.

It is an amenable number.

101111010029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111010029 is an equidigital number, since it uses as much as digits as its factorization.

101111010029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 101111010029 in words is "one hundred one billion, one hundred eleven million, ten thousand, twenty-nine".