Search a number
-
+
10012220101101 = 3313722313619587
BaseRepresentation
bin1001000110110010011011…
…0100101001000111101101
31022110011021211111201010110
42101230212310221013231
52303020011321213401
633143314520130233
72052234101445231
oct221544664510755
938404254451113
1010012220101101
113210182257929
121158528306979
135781c0a9478a
142688460825c1
15125692b8d9d6
hex91b26d291ed

10012220101101 has 64 divisors (see below), whose sum is σ = 14228093730816. Its totient is φ = 6251483059200.

The previous prime is 10012220101099. The next prime is 10012220101139. The reversal of 10012220101101 is 10110102221001.

10012220101101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10012220101101 - 21 = 10012220101099 is a prime.

It is a super-2 number, since 2×100122201011012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012220101001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1044349030 + ... + 1044358616.

It is an arithmetic number, because the mean of its divisors is an integer number (222313964544).

Almost surely, 210012220101101 is an apocalyptic number.

It is an amenable number.

10012220101101 is a deficient number, since it is larger than the sum of its proper divisors (4215873629715).

10012220101101 is a wasteful number, since it uses less digits than its factorization.

10012220101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11242.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10012220101101 its reverse (10110102221001), we get a palindrome (20122322322102).

The spelling of 10012220101101 in words is "ten trillion, twelve billion, two hundred twenty million, one hundred one thousand, one hundred one".

Divisors: 1 3 31 37 93 111 223 669 1147 1361 3441 4083 6913 8251 9587 20739 24753 28761 42191 50357 126573 151071 255781 297197 303503 354719 767343 891591 910509 1064157 1561067 2137901 4683201 6413703 9408593 10996289 11229611 13047907 28225779 32988867 33688833 39143721 66274931 79102337 198824793 237307011 348117941 404485117 482772559 1044353823 1213455351 1448317677 2452172447 2909683261 7356517341 8729049783 14965949329 44897847987 90200181091 107658280657 270600543273 322974841971 3337406700367 10012220101101