Search a number
-
+
1230820084417 = 721119592037043
BaseRepresentation
bin10001111010010010100…
…110000000101011000001
311100122221222010121200111
4101322102212000223001
5130131204420200132
62341233025551321
7154631604045400
oct21722246005301
94318858117614
101230820084417
11434a95939740
1217a65b1a5541
138c0b1845651
1443801849637
152203a807647
hex11e92980ac1

1230820084417 has 48 divisors (see below), whose sum is σ = 1672005715200. Its totient is φ = 893202176160.

The previous prime is 1230820084409. The next prime is 1230820084499. The reversal of 1230820084417 is 7144800280321.

It is not a de Polignac number, because 1230820084417 - 23 = 1230820084409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1230820084417.

It is not an unprimeable number, because it can be changed into a prime (1230820084517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414303 + ... + 1622740.

It is an arithmetic number, because the mean of its divisors is an integer number (34833452400).

Almost surely, 21230820084417 is an apocalyptic number.

It is an amenable number.

1230820084417 is a deficient number, since it is larger than the sum of its proper divisors (441185630783).

1230820084417 is a wasteful number, since it uses less digits than its factorization.

1230820084417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037146 (or 2037139 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 1230820084417 in words is "one trillion, two hundred thirty billion, eight hundred twenty million, eighty-four thousand, four hundred seventeen".

Divisors: 1 7 11 19 49 59 77 133 209 413 539 649 931 1121 1463 2891 4543 7847 10241 12331 31801 54929 86317 604219 2037043 14259301 22407473 38703817 99815107 120185537 156852311 270926719 425741987 841298759 1097966177 1322040907 1896487033 2283525203 2980193909 5889091313 9254286349 15984676421 20861357363 25118777233 64780004443 111892734947 175831440631 1230820084417