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34420242131 = 1121226323197
BaseRepresentation
bin100000000011100110…
…110011011011010011
310021211210202110122122
4200003212303123103
51030443040222011
623451253124455
72325652142102
oct400346633323
9107753673578
1034420242131
1113663369400
12680732972b
1333270947a2
141947512039
15d66c103db
hex8039b36d3

34420242131 has 12 divisors (see below), whose sum is σ = 37838536176. Its totient is φ = 31287228720.

The previous prime is 34420242107. The next prime is 34420242137. The reversal of 34420242131 is 13124202443.

It is not a de Polignac number, because 34420242131 - 26 = 34420242067 is a prime.

It is a super-2 number, since 2×344202421312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34420242131.

It is not an unprimeable number, because it can be changed into a prime (34420242137) 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, 1472225 + ... + 1495421.

It is an arithmetic number, because the mean of its divisors is an integer number (3153211348).

Almost surely, 234420242131 is an apocalyptic number.

34420242131 is a deficient number, since it is larger than the sum of its proper divisors (3418294045).

34420242131 is a wasteful number, since it uses less digits than its factorization.

34420242131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35482 (or 35471 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34420242131 its reverse (13124202443), we get a palindrome (47544444574).

The spelling of 34420242131 in words is "thirty-four billion, four hundred twenty million, two hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 11 121 12263 23197 134893 255167 1483823 2806837 284464811 3129112921 34420242131