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20000300013 = 323760060961
BaseRepresentation
bin10010101000000111…
…000101101111101101
31220121212002111210100
4102220013011233231
5311430034100023
613104335501313
71305424513401
oct225007055755
956555074710
1020000300013
118533714471
123a62087839
131b69781365
14d7a363101
157c0cc9c43
hex4a81c5bed

20000300013 has 12 divisors (see below), whose sum is σ = 29670115228. Its totient is φ = 12973167360.

The previous prime is 20000300009. The next prime is 20000300041. The reversal of 20000300013 is 31000300002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18100473444 + 1899826569 = 134538^2 + 43587^2 .

It is not a de Polignac number, because 20000300013 - 22 = 20000300009 is a prime.

It is a super-2 number, since 2×200003000132 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20000299968 and 20000300004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000300213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30030148 + ... + 30030813.

Almost surely, 220000300013 is an apocalyptic number.

It is an amenable number.

20000300013 is a deficient number, since it is larger than the sum of its proper divisors (9669815215).

20000300013 is a wasteful number, since it uses less digits than its factorization.

20000300013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60061004 (or 60061001 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 20000300013 its reverse (31000300002), we get a palindrome (51000600015).

The spelling of 20000300013 in words is "twenty billion, three hundred thousand, thirteen".

Divisors: 1 3 9 37 111 333 60060961 180182883 540548649 2222255557 6666766671 20000300013