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34052177101 is a prime number
BaseRepresentation
bin11111101101101010…
…101111110011001101
310020220011011211100111
4133231222233303031
51024214324131401
623350544200021
72313562505155
oct375552576315
9106804154314
1034052177101
1113494625728
126724009011
133298a54b27
1419106a1765
15d44758e51
hex7edaafccd

34052177101 has 2 divisors, whose sum is σ = 34052177102. Its totient is φ = 34052177100.

The previous prime is 34052177057. The next prime is 34052177149. The reversal of 34052177101 is 10177125043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28857515625 + 5194661476 = 169875^2 + 72074^2 .

It is an emirp because it is prime and its reverse (10177125043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34052177101 - 227 = 33917959373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34052177191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17026088550 + 17026088551.

It is an arithmetic number, because the mean of its divisors is an integer number (17026088551).

Almost surely, 234052177101 is an apocalyptic number.

It is an amenable number.

34052177101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34052177101 is an equidigital number, since it uses as much as digits as its factorization.

34052177101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5880, while the sum is 31.

The spelling of 34052177101 in words is "thirty-four billion, fifty-two million, one hundred seventy-seven thousand, one hundred one".