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122311105432001 = 349350461620149
BaseRepresentation
bin11011110011110111000101…
…111111011100100111000001
3121001001211100020101022101222
4123303313011333130213001
5112012421120442311001
61112044540211004425
734522454133215423
oct3363670577344701
9531054306338358
10122311105432001
1135a76937410772
1211874865899715
135332b70510385
14222bc63938813
15e218d4c5a61b
hex6f3dc5fdc9c1

122311105432001 has 4 divisors (see below), whose sum is σ = 122661567052500. Its totient is φ = 121960643811504.

The previous prime is 122311105431961. The next prime is 122311105432031. The reversal of 122311105432001 is 100234501113221.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 61892820105601 + 60418285326400 = 7867199^2 + 7772920^2 .

It is a cyclic number.

It is not a de Polignac number, because 122311105432001 - 210 = 122311105430977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122311105432031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175230809726 + ... + 175230810423.

It is an arithmetic number, because the mean of its divisors is an integer number (30665391763125).

Almost surely, 2122311105432001 is an apocalyptic number.

It is an amenable number.

122311105432001 is a deficient number, since it is larger than the sum of its proper divisors (350461620499).

122311105432001 is an equidigital number, since it uses as much as digits as its factorization.

122311105432001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350461620498.

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 122311105432001 its reverse (100234501113221), we get a palindrome (222545606545222).

The spelling of 122311105432001 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred five million, four hundred thirty-two thousand, one".

Divisors: 1 349 350461620149 122311105432001