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3083172416801 is a prime number
BaseRepresentation
bin101100110111011011011…
…001011000110100100001
3101220202012120211211011122
4230313123121120310201
5401003314114314201
610320220113022025
7435515613064211
oct54673331306441
911822176754148
103083172416801
11a896254a6524
12419658254915
13194984c96609
14a932511a241
15553014b2e1b
hex2cddb658d21

3083172416801 has 2 divisors, whose sum is σ = 3083172416802. Its totient is φ = 3083172416800.

The previous prime is 3083172416713. The next prime is 3083172416809. The reversal of 3083172416801 is 1086142713803.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2339997387025 + 743175029776 = 1529705^2 + 862076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3083172416801 is a prime.

It is not a weakly prime, because it can be changed into another prime (3083172416809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1541586208400 + 1541586208401.

It is an arithmetic number, because the mean of its divisors is an integer number (1541586208401).

Almost surely, 23083172416801 is an apocalyptic number.

It is an amenable number.

3083172416801 is a deficient number, since it is larger than the sum of its proper divisors (1).

3083172416801 is an equidigital number, since it uses as much as digits as its factorization.

3083172416801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 3083172416801 in words is "three trillion, eighty-three billion, one hundred seventy-two million, four hundred sixteen thousand, eight hundred one".