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31122234002241 = 323458026000249
BaseRepresentation
bin1110001001110001101011…
…01100111100101101000001
311002012020220222221212102100
413010320311230330231001
513034401313401032431
6150105205032341013
76361335654124554
oct704706554745501
9132166828855370
1031122234002241
119a09957815008
1235a7845244769
131449a7769a365
1479847770869b
1538e8626cc4e6
hex1c4e35b3cb41

31122234002241 has 6 divisors (see below), whose sum is σ = 44954338003250. Its totient is φ = 20748156001488.

The previous prime is 31122234002221. The next prime is 31122234002263. The reversal of 31122234002241 is 14220043222113.

31122234002241 is a `hidden beast` number, since 3 + 1 + 12 + 2 + 2 + 3 + 400 + 2 + 241 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30958374200625 + 163859801616 = 5564025^2 + 404796^2 .

It is not a de Polignac number, because 31122234002241 - 227 = 31122099784513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31122234002221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1729013000116 + ... + 1729013000133.

Almost surely, 231122234002241 is an apocalyptic number.

It is an amenable number.

31122234002241 is a deficient number, since it is larger than the sum of its proper divisors (13832104001009).

31122234002241 is a wasteful number, since it uses less digits than its factorization.

31122234002241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458026000255 (or 3458026000252 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31122234002241 its reverse (14220043222113), we get a palindrome (45342277224354).

The spelling of 31122234002241 in words is "thirty-one trillion, one hundred twenty-two billion, two hundred thirty-four million, two thousand, two hundred forty-one".

Divisors: 1 3 9 3458026000249 10374078000747 31122234002241