Search a number
-
+
2120012982 = 2321731122277
BaseRepresentation
bin111111001011100…
…1101010010110110
312110202011211002100
41332113031102312
513320210403412
6550211122530
7103351545603
oct17627152266
95422154070
102120012982
1199876814a
124b1ba3446
1327a2a7169
141617b96aa
15c61bbedc
hex7e5cd4b6

2120012982 has 48 divisors (see below), whose sum is σ = 4879416672. Its totient is φ = 662933760.

The previous prime is 2120012981. The next prime is 2120013011. The reversal of 2120012982 is 2892100212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120012981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84028 + ... + 106304.

It is an arithmetic number, because the mean of its divisors is an integer number (101654514).

Almost surely, 22120012982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120012982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439708336).

2120012982 is an abundant number, since it is smaller than the sum of its proper divisors (2759403690).

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

2120012982 is a wasteful number, since it uses less digits than its factorization.

2120012982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22613 (or 22610 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2120012982 is about 46043.5987081809. The cubic root of 2120012982 is about 1284.6342798908.

The spelling of 2120012982 in words is "two billion, one hundred twenty million, twelve thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 311 622 933 1866 2799 5287 5598 10574 15861 22277 31722 44554 47583 66831 95166 133662 200493 378709 400986 757418 1136127 2272254 3408381 6816762 6928147 13856294 20784441 41568882 62353323 117778499 124706646 235556998 353335497 706670994 1060006491 2120012982