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122340773241 = 3217799612897
BaseRepresentation
bin111000111110000010…
…1000000110101111001
3102200210010202012201200
41301330011000311321
54001023214220431
6132111431204413
711560501262121
oct1617405006571
9380703665650
10122340773241
11479801a4765
121b863816709
13b6c9136cab
145cc8189c81
1532b072cee6
hex1c7c140d79

122340773241 has 12 divisors (see below), whose sum is σ = 187109418132. Its totient is φ = 76762838016.

The previous prime is 122340773231. The next prime is 122340773251. The reversal of 122340773241 is 142377043221.

122340773241 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 407 + 7 + 3 + 241 = 666.

It is an interprime number because it is at equal distance from previous prime (122340773231) and next prime (122340773251).

It can be written as a sum of positive squares in 2 ways, for example, as 76706841600 + 45633931641 = 276960^2 + 213621^2 .

It is not a de Polignac number, because 122340773241 - 223 = 122332384633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122340773196 and 122340773205.

It is not an unprimeable number, because it can be changed into a prime (122340773221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399806296 + ... + 399806601.

It is an arithmetic number, because the mean of its divisors is an integer number (15592451511).

Almost surely, 2122340773241 is an apocalyptic number.

It is an amenable number.

122340773241 is a deficient number, since it is larger than the sum of its proper divisors (64768644891).

122340773241 is a wasteful number, since it uses less digits than its factorization.

122340773241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799612920 (or 799612917 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 122340773241 in words is "one hundred twenty-two billion, three hundred forty million, seven hundred seventy-three thousand, two hundred forty-one".

Divisors: 1 3 9 17 51 153 799612897 2398838691 7196516073 13593419249 40780257747 122340773241