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20013131113 = 7310113719813
BaseRepresentation
bin10010101000111000…
…000010010101101001
31220122202020101202021
4102220320002111221
5311441330143423
613105514504441
71305641544013
oct225070022551
956582211667
1020013131113
11853a988688
123a66435121
131b6c324721
14d7bd431b3
157c1eb195d
hex4a8e02569

20013131113 has 16 divisors (see below), whose sum is σ = 20638737936. Its totient is φ = 19399910400.

The previous prime is 20013131107. The next prime is 20013131123. The reversal of 20013131113 is 31113131002.

It can be written as a sum of positive squares in 8 ways, for example, as 219024 + 20012912089 = 468^2 + 141467^2 .

It is a cyclic number.

It is not a de Polignac number, because 20013131113 - 29 = 20013130601 is a prime.

It is a super-2 number, since 2×200131311132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20013131123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000195 + ... + 1020007.

It is an arithmetic number, because the mean of its divisors is an integer number (1289921121).

Almost surely, 220013131113 is an apocalyptic number.

It is an amenable number.

20013131113 is a deficient number, since it is larger than the sum of its proper divisors (625606823).

20013131113 is a wasteful number, since it uses less digits than its factorization.

20013131113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20124.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 20013131113 its reverse (31113131002), we get a palindrome (51126262115).

The spelling of 20013131113 in words is "twenty billion, thirteen million, one hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 73 101 137 7373 10001 13837 19813 1010101 1446349 2001113 2714381 146081249 198149813 274152481 20013131113