Search a number
-
+
10002210012 = 2232728338149
BaseRepresentation
bin10010101000010110…
…11001110011011100
3221211001220220200200
421110023121303130
5130441031210022
64332302023500
7502602245064
oct112413316334
927731826620
1010002210012
114272a94473
121b31877b90
13c352b2382
146ac57a3a4
153d8197bac
hex2542d9cdc

10002210012 has 36 divisors (see below), whose sum is σ = 25287498600. Its totient is φ = 3333524832.

The previous prime is 10002210011. The next prime is 10002210019. The reversal of 10002210012 is 21001220001.

10002210012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 10002209976 and 10002210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002210011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243114 + ... + 281262.

Almost surely, 210002210012 is an apocalyptic number.

10002210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002210012 is an abundant number, since it is smaller than the sum of its proper divisors (15285288588).

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

10002210012 is a wasteful number, since it uses less digits than its factorization.

10002210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45442 (or 45437 counting only the distinct ones).

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

Adding to 10002210012 its reverse (21001220001), we get a palindrome (31003430013).

The spelling of 10002210012 in words is "ten billion, two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 7283 14566 21849 29132 38149 43698 65547 76298 87396 114447 131094 152596 228894 262188 343341 457788 686682 1373364 277839167 555678334 833517501 1111356668 1667035002 2500552503 3334070004 5001105006 10002210012