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2434120031 = 72319111759
BaseRepresentation
bin1001000100010101…
…1011100101011111
320021122020002221202
42101011123211133
514441113320111
61041311350115
7114214451600
oct22105334537
96248202852
102434120031
111039aa7452
1257b22233b
132ca3a4015
141913c1da7
15e3a65b3b
hex9115b95f

2434120031 has 24 divisors (see below), whose sum is σ = 2927738880. Its totient is φ = 2015722800.

The previous prime is 2434119977. The next prime is 2434120033. The reversal of 2434120031 is 1300214342.

It is a de Polignac number, because none of the positive numbers 2k-2434120031 is a prime.

It is a super-2 number, since 2×24341200312 = 11849880650630881922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2434119985 and 2434120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434120033) 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 23 ways as a sum of consecutive naturals, for example, 1382930 + ... + 1384688.

It is an arithmetic number, because the mean of its divisors is an integer number (121989120).

Almost surely, 22434120031 is an apocalyptic number.

2434120031 is a deficient number, since it is larger than the sum of its proper divisors (493618849).

2434120031 is a wasteful number, since it uses less digits than its factorization.

2434120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2434120031 is about 49336.8019940490. The cubic root of 2434120031 is about 1345.1808108566.

Adding to 2434120031 its reverse (1300214342), we get a palindrome (3734334373).

The spelling of 2434120031 in words is "two billion, four hundred thirty-four million, one hundred twenty thousand, thirty-one".

Divisors: 1 7 31 49 217 911 1519 1759 6377 12313 28241 44639 54529 86191 197687 381703 1383809 1602449 2671921 11217143 49675919 78520001 347731433 2434120031