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20100350313 = 36157175621
BaseRepresentation
bin10010101110000100…
…110000000101101001
31220212211100121000000
4102232010300011221
5312131142202223
613122312133213
71311051105261
oct225604600551
956784317000
1020100350313
11858513a76a
123a8b697209
131b84411a14
14d897687a1
157c998e543
hex4ae130169

20100350313 has 28 divisors (see below), whose sum is σ = 30328865668. Its totient is φ = 13314805920.

The previous prime is 20100350311. The next prime is 20100350317. The reversal of 20100350313 is 31305300102.

20100350313 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 350 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12640055184 + 7460295129 = 112428^2 + 86373^2 .

It is not a de Polignac number, because 20100350313 - 21 = 20100350311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20100350311) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 26643 + ... + 202263.

Almost surely, 220100350313 is an apocalyptic number.

It is an amenable number.

20100350313 is a deficient number, since it is larger than the sum of its proper divisors (10228515355).

20100350313 is an equidigital number, since it uses as much as digits as its factorization.

20100350313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175796 (or 175781 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 20100350313 its reverse (31305300102), we get a palindrome (51405650415).

The spelling of 20100350313 in words is "twenty billion, one hundred million, three hundred fifty thousand, three hundred thirteen".

Divisors: 1 3 9 27 81 157 243 471 729 1413 4239 12717 38151 114453 175621 526863 1580589 4741767 14225301 27572497 42675903 82717491 128027709 248152473 744457419 2233372257 6700116771 20100350313