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102968101773 = 341863768209
BaseRepresentation
bin101111111100101100…
…0001000101110001101
3100211210000122112110000
41133321120020232031
53141334313224043
6115145231434513
710303434265305
oct1377130105615
9324700575400
10102968101773
113a739899979
1217b57985a39
13992c705c94
144dab322605
152a29acc2d3
hex17f9608b8d

102968101773 has 20 divisors (see below), whose sum is σ = 153827055580. Its totient is φ = 68640711552.

The previous prime is 102968101751. The next prime is 102968101777. The reversal of 102968101773 is 377101869201.

It can be written as a sum of positive squares in 2 ways, for example, as 16053396804 + 86914704969 = 126702^2 + 294813^2 .

It is not a de Polignac number, because 102968101773 - 218 = 102967839629 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102968101777) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1475493 + ... + 1543701.

It is an arithmetic number, because the mean of its divisors is an integer number (7691352779).

Almost surely, 2102968101773 is an apocalyptic number.

It is an amenable number.

102968101773 is a deficient number, since it is larger than the sum of its proper divisors (50858953807).

102968101773 is an equidigital number, since it uses as much as digits as its factorization.

102968101773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86858 (or 86849 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 102968101773 in words is "one hundred two billion, nine hundred sixty-eight million, one hundred one thousand, seven hundred seventy-three".

Divisors: 1 3 9 27 81 18637 55911 68209 167733 204627 503199 613881 1509597 1841643 5524929 1271211133 3813633399 11440900197 34322700591 102968101773