Search a number
-
+
1213000192 = 2913717293
BaseRepresentation
bin100100001001100…
…1110101000000000
310010112110210110001
41020103032220000
54441012001232
6320210445344
742026221465
oct11023165000
93115423401
101213000192
11572785aa8
1229a293854
131643c67c1
14b715566c
15717576e7
hex484cea00

1213000192 has 40 divisors (see below), whose sum is σ = 2441463156. Its totient is φ = 602038272.

The previous prime is 1213000181. The next prime is 1213000213. The reversal of 1213000192 is 2910003121.

It can be written as a sum of positive squares in 2 ways, for example, as 1140818176 + 72182016 = 33776^2 + 8496^2 .

It is a super-3 number, since 3×12130001923 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61498 + ... + 78790.

Almost surely, 21213000192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220731578).

1213000192 is an abundant number, since it is smaller than the sum of its proper divisors (1228462964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1213000192 is an equidigital number, since it uses as much as digits as its factorization.

1213000192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17448 (or 17432 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1213000192 is about 34828.1522909269. The cubic root of 1213000192 is about 1066.4822292219.

The spelling of 1213000192 in words is "one billion, two hundred thirteen million, one hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 128 137 256 274 512 548 1096 2192 4384 8768 17293 17536 34586 35072 69172 70144 138344 276688 553376 1106752 2213504 2369141 4427008 4738282 8854016 9476564 18953128 37906256 75812512 151625024 303250048 606500096 1213000192