Search a number
-
+
2010000010122 = 2321373283415787
BaseRepresentation
bin11101001111111101010…
…101100010101110001010
321010011011100121222222100
4131033331111202232022
5230412440000310442
64135214203534230
7265134450121356
oct35177525425612
97104140558870
102010000010122
11705488672465
12285674b2a376
13117708256320
146d3daa16466
1537440d8d84c
hex1d3fd562b8a

2010000010122 has 96 divisors (see below), whose sum is σ = 4771057531968. Its totient is φ = 607832563968.

The previous prime is 2010000010043. The next prime is 2010000010127. The reversal of 2010000010122 is 2210100000102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2010000010127) 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, 4626313 + ... + 5042099.

It is an arithmetic number, because the mean of its divisors is an integer number (49698515958).

Almost surely, 22010000010122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010000010122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385528765984).

2010000010122 is an abundant number, since it is smaller than the sum of its proper divisors (2761057521846).

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

2010000010122 is a wasteful number, since it uses less digits than its factorization.

2010000010122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416164 (or 416161 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2010000010122 its reverse (2210100000102), we get a palindrome (4220100010224).

The spelling of 2010000010122 in words is "two trillion, ten billion, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 219 234 283 438 566 657 849 949 1314 1698 1898 2547 2847 3679 5094 5694 7358 8541 11037 17082 20659 22074 33111 41318 61977 66222 123954 185931 268567 371862 415787 537134 805701 831574 1247361 1611402 2417103 2494722 3742083 4834206 5405231 7484166 10810462 16215693 30352451 32431386 48647079 60704902 91057353 97294158 117667721 182114706 235335442 273172059 353003163 394581863 546344118 706006326 789163726 1059009489 1183745589 1529680373 2118018978 2367491178 3059360746 3551236767 4589041119 7102473534 8589743633 9178082238 13767123357 17179487266 25769230899 27534246714 51538461798 77307692697 111666667229 154615385394 223333334458 335000001687 670000003374 1005000005061 2010000010122