Search a number
-
+
122312141432055 = 3255351283916743
BaseRepresentation
bin11011110011111000000011…
…101111011110010011110111
3121001001221000102210120022100
4123303320003233132103313
5112012430231201311210
61112045231100033143
734522521613114641
oct3363700357362367
9531057012716270
10122312141432055
1135a77319192963
1211874ab48327b3
135332ca7043563
14222bd21377891
15e21945b9d5c0
hex6f3e03bde4f7

122312141432055 has 24 divisors (see below), whose sum is σ = 216007857325728. Its totient is φ = 64002328094016.

The previous prime is 122312141432021. The next prime is 122312141432059. The reversal of 122312141432055 is 550234141213221.

122312141432055 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 214 + 1 + 432 + 0 + 5 + 5 = 666.

It is not a de Polignac number, because 122312141432055 - 214 = 122312141415671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122312141432059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25641955987 + ... + 25641960756.

It is an arithmetic number, because the mean of its divisors is an integer number (9000327388572).

Almost surely, 2122312141432055 is an apocalyptic number.

122312141432055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122312141432055 is a deficient number, since it is larger than the sum of its proper divisors (93695715893673).

122312141432055 is a wasteful number, since it uses less digits than its factorization.

122312141432055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51283916807 (or 51283916804 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 122312141432055 its reverse (550234141213221), we get a palindrome (672546282645276).

The spelling of 122312141432055 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred forty-one million, four hundred thirty-two thousand, fifty-five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385 51283916743 153851750229 256419583715 461555250687 769258751145 2307776253435 2718047587379 8154142762137 13590237936895 24462428286411 40770713810685 122312141432055