Search a number
-
+
10012221222093 = 329535431214939
BaseRepresentation
bin1001000110110010011011…
…1000111010110011001101
31022110011021220121122211200
42101230212320322303031
52303020012113101333
633143315000140113
72052234114124356
oct221544670726315
938404256548750
1010012221222093
113210182953072
121158528767639
135781c1097a9c
14268846294d2d
15125692d10c13
hex91b26e3accd

10012221222093 has 24 divisors (see below), whose sum is σ = 14480005700160. Its totient is φ = 6666551398080.

The previous prime is 10012221222041. The next prime is 10012221222109. The reversal of 10012221222093 is 39022212221001.

10012221222093 is a `hidden beast` number, since 100 + 122 + 212 + 220 + 9 + 3 = 666.

It is not a de Polignac number, because 10012221222093 - 236 = 9943501745357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012221222013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46474218 + ... + 46689156.

It is an arithmetic number, because the mean of its divisors is an integer number (603333570840).

Almost surely, 210012221222093 is an apocalyptic number.

It is an amenable number.

10012221222093 is a deficient number, since it is larger than the sum of its proper divisors (4467784478067).

10012221222093 is a wasteful number, since it uses less digits than its factorization.

10012221222093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221329 (or 221326 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10012221222093 its reverse (39022212221001), we get a palindrome (49034433443094).

The spelling of 10012221222093 in words is "ten trillion, twelve billion, two hundred twenty-one million, two hundred twenty-two thousand, ninety-three".

Divisors: 1 3 9 953 2859 5431 8577 16293 48879 214939 644817 1934451 5175743 15527229 46581687 204836867 614510601 1167333709 1843531803 3502001127 10506003381 1112469024677 3337407074031 10012221222093