Search a number
-
+
122481031005 = 32546756910243
BaseRepresentation
bin111001000010001110…
…0000011011101011101
3102201010220200001012200
41302010130003131131
54001320120443010
6132133401322113
711564123404644
oct1620434033535
9381126601180
10122481031005
1147a42392473
121b8a2796339
13b71c204758
145cdca5a35b
1532bcbd5cc0
hex1c8470375d

122481031005 has 48 divisors (see below), whose sum is σ = 213149776320. Its totient is φ = 65062427904.

The previous prime is 122481030989. The next prime is 122481031019. The reversal of 122481031005 is 500130184221.

It is not a de Polignac number, because 122481031005 - 24 = 122481030989 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122481031005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11952414 + ... + 11962656.

It is an arithmetic number, because the mean of its divisors is an integer number (4440620340).

Almost surely, 2122481031005 is an apocalyptic number.

122481031005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122481031005 is a deficient number, since it is larger than the sum of its proper divisors (90668745315).

122481031005 is a wasteful number, since it uses less digits than its factorization.

122481031005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11290 (or 11287 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 122481031005 in words is "one hundred twenty-two billion, four hundred eighty-one million, thirty-one thousand, five".

Divisors: 1 3 5 9 15 45 467 569 1401 1707 2335 2845 4203 5121 7005 8535 10243 21015 25605 30729 51215 92187 153645 265723 460935 797169 1328615 2391507 3985845 4783481 5828267 11957535 14350443 17484801 23917405 29141335 43051329 52454403 71752215 87424005 215256645 262272015 2721800689 8165402067 13609003445 24496206201 40827010335 122481031005