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102110816821 = 1329270850973
BaseRepresentation
bin101111100011001000…
…1110110101000110101
3100202120021111221120111
41133012101312220311
53133110332114241
6114524205103021
710243254423256
oct1370621665065
9322507457514
10102110816821
113a339992012
1217958857a71
139823c16b90
144d29524b2d
1529c96dbc81
hex17c6476a35

102110816821 has 8 divisors (see below), whose sum is σ = 113757409080. Its totient is φ = 91005926592.

The previous prime is 102110816789. The next prime is 102110816831. The reversal of 102110816821 is 128618011201.

It can be written as a sum of positive squares in 4 ways, for example, as 4150580625 + 97960236196 = 64425^2 + 312986^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102110816821 - 25 = 102110816789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110816831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135425110 + ... + 135425863.

It is an arithmetic number, because the mean of its divisors is an integer number (14219676135).

Almost surely, 2102110816821 is an apocalyptic number.

It is an amenable number.

102110816821 is a deficient number, since it is larger than the sum of its proper divisors (11646592259).

102110816821 is a wasteful number, since it uses less digits than its factorization.

102110816821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270851015.

The product of its (nonzero) digits is 1536, while the sum is 31.

The spelling of 102110816821 in words is "one hundred two billion, one hundred ten million, eight hundred sixteen thousand, eight hundred twenty-one".

Divisors: 1 13 29 377 270850973 3521062649 7854678217 102110816821