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2185312041 = 341123106637
BaseRepresentation
bin1000001001000001…
…0011011100101001
312122022001100120000
42002100103130221
513433414441131
61000502453213
7105103563063
oct20220233451
95568040500
102185312041
11a21608310
1250ba34209
1328a98b063
1416a336733
15cbcb9ce6
hex82413729

2185312041 has 40 divisors (see below), whose sum is σ = 3716121024. Its totient is φ = 1266835680.

The previous prime is 2185312027. The next prime is 2185312049. The reversal of 2185312041 is 1402135812.

It is not a de Polignac number, because 2185312041 - 214 = 2185295657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2185311996 and 2185312014.

It is not an unprimeable number, because it can be changed into a prime (2185312049) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32826 + ... + 73811.

Almost surely, 22185312041 is an apocalyptic number.

It is an amenable number.

2185312041 is a deficient number, since it is larger than the sum of its proper divisors (1530808983).

2185312041 is a wasteful number, since it uses less digits than its factorization.

2185312041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106683 (or 106674 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2185312041 is about 46747.3212173703. The cubic root of 2185312041 is about 1297.6905824498.

Adding to 2185312041 its reverse (1402135812), we get a palindrome (3587447853).

The spelling of 2185312041 in words is "two billion, one hundred eighty-five million, three hundred twelve thousand, forty-one".

Divisors: 1 3 9 11 23 27 33 69 81 99 207 253 297 621 759 891 1863 2277 6831 20493 106637 319911 959733 1173007 2452651 2879199 3519021 7357953 8637597 10557063 22073859 26979161 31671189 66221577 80937483 95013567 198664731 242812449 728437347 2185312041