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34053203131 = 1915719359149
BaseRepresentation
bin11111101101101110…
…101010010010111011
310020220020002221210121
4133231232222102323
51024220110000011
623351022154111
72313604310413
oct375556522273
9106806087717
1034053203131
1113495166592
126724422937
133299023b4c
14191088b643
15d448ace71
hex7edbaa4bb

34053203131 has 16 divisors (see below), whose sum is σ = 36261316000. Its totient is φ = 31888816128.

The previous prime is 34053203123. The next prime is 34053203137. The reversal of 34053203131 is 13130235043.

It is a cyclic number.

It is not a de Polignac number, because 34053203131 - 23 = 34053203123 is a prime.

It is a super-2 number, since 2×340532031312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34053203096 and 34053203105.

It is not an unprimeable number, because it can be changed into a prime (34053203137) 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 15 ways as a sum of consecutive naturals, for example, 546145 + ... + 605293.

It is an arithmetic number, because the mean of its divisors is an integer number (2266332250).

Almost surely, 234053203131 is an apocalyptic number.

34053203131 is a deficient number, since it is larger than the sum of its proper divisors (2208112869).

34053203131 is a wasteful number, since it uses less digits than its factorization.

34053203131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59518.

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 34053203131 its reverse (13130235043), we get a palindrome (47183438174).

The spelling of 34053203131 in words is "thirty-four billion, fifty-three million, two hundred three thousand, one hundred thirty-one".

Divisors: 1 19 157 193 2983 3667 30301 59149 575719 1123831 9286393 11415757 176441467 216899383 1792273849 34053203131