Search a number
-
+
122452534341 = 3288115443629
BaseRepresentation
bin111001000001010111…
…1010110010001000101
3102201001221001021010200
41302002233112101011
54001240322044331
6132130502441113
711563326240204
oct1620257262105
9381057037120
10122452534341
1147a28299505
121b895133199
13b716337b17
145cd8d5d23b
1532ba4575e6
hex1c82bd6445

122452534341 has 12 divisors (see below), whose sum is σ = 177076661580. Its totient is φ = 81542355840.

The previous prime is 122452534333. The next prime is 122452534349. The reversal of 122452534341 is 143435254221.

It is a happy number.

122452534341 is a `hidden beast` number, since 1 + 22 + 45 + 253 + 4 + 341 = 666.

It is an interprime number because it is at equal distance from previous prime (122452534333) and next prime (122452534349).

It can be written as a sum of positive squares in 2 ways, for example, as 9923148225 + 112529386116 = 99615^2 + 335454^2 .

It is not a de Polignac number, because 122452534341 - 23 = 122452534333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122452534296 and 122452534305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122452534349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7713886 + ... + 7729743.

It is an arithmetic number, because the mean of its divisors is an integer number (14756388465).

Almost surely, 2122452534341 is an apocalyptic number.

It is an amenable number.

122452534341 is a deficient number, since it is larger than the sum of its proper divisors (54624127239).

122452534341 is a wasteful number, since it uses less digits than its factorization.

122452534341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15444516 (or 15444513 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 122452534341 its reverse (143435254221), we get a palindrome (265887788562).

The spelling of 122452534341 in words is "one hundred twenty-two billion, four hundred fifty-two million, five hundred thirty-four thousand, three hundred forty-one".

Divisors: 1 3 9 881 2643 7929 15443629 46330887 138992661 13605837149 40817511447 122452534341