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2213120442141 = 3373238972081
BaseRepresentation
bin100000001101001000010…
…000011111111100011101
321211120110011120001111000
4200031020100133330131
5242224432313122031
64412405443420513
7315615121242000
oct40151020377435
97746404501430
102213120442141
117836408803a4
122b8b01684739
13130908ba547b
14791892cd537
153c87d2453e6
hex2034841ff1d

2213120442141 has 32 divisors (see below), whose sum is σ = 3823553312000. Its totient is φ = 1264640247360.

The previous prime is 2213120442133. The next prime is 2213120442151. The reversal of 2213120442141 is 1412440213122.

2213120442141 is a `hidden beast` number, since 2 + 2 + 1 + 31 + 204 + 421 + 4 + 1 = 666.

It is not a de Polignac number, because 2213120442141 - 23 = 2213120442133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213120442101) 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 31 ways as a sum of consecutive naturals, for example, 119476780 + ... + 119495301.

It is an arithmetic number, because the mean of its divisors is an integer number (119486041000).

Almost surely, 22213120442141 is an apocalyptic number.

2213120442141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2213120442141 is a deficient number, since it is larger than the sum of its proper divisors (1610432869859).

2213120442141 is an equidigital number, since it uses as much as digits as its factorization.

2213120442141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238972111 (or 238972091 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2213120442141 its reverse (1412440213122), we get a palindrome (3625560655263).

The spelling of 2213120442141 in words is "two trillion, two hundred thirteen billion, one hundred twenty million, four hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 343 441 1029 1323 3087 9261 238972081 716916243 1672804567 2150748729 5018413701 6452246187 11709631969 15055241103 35128895907 45165723309 81967423783 105386687721 245902271349 316160063163 737706814047 2213120442141