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221312203011133 = 1364026126589181
BaseRepresentation
bin110010010100100001000011…
…001111101011010000111101
31002000121020110221120012201121
4302110201003033223100331
5213001434342432324013
62102405231132110541
764421164463033053
oct6224410317532075
91060536427505647
10221312203011133
1164575a84003443
12209a3955005451
1396648608a15a0
143c917d3db21d3
151a8bc8931c58d
hexc948433eb43d

221312203011133 has 8 divisors (see below), whose sum is σ = 238336599839576. Its totient is φ = 204287860641600.

The previous prime is 221312203011101. The next prime is 221312203011157. The reversal of 221312203011133 is 331110302213122.

It can be written as a sum of positive squares in 4 ways, for example, as 13715601157764 + 207596601853369 = 3703458^2 + 14408213^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221312203011133 - 25 = 221312203011101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221312203011098 and 221312203011107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221312203011173) 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 7 ways as a sum of consecutive naturals, for example, 4971198 + ... + 21617983.

It is an arithmetic number, because the mean of its divisors is an integer number (29792074979947).

Almost surely, 2221312203011133 is an apocalyptic number.

It is an amenable number.

221312203011133 is a deficient number, since it is larger than the sum of its proper divisors (17024396828443).

221312203011133 is a wasteful number, since it uses less digits than its factorization.

221312203011133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27229455.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 221312203011133 its reverse (331110302213122), we get a palindrome (552422505224255).

The spelling of 221312203011133 in words is "two hundred twenty-one trillion, three hundred twelve billion, two hundred three million, eleven thousand, one hundred thirty-three".

Divisors: 1 13 640261 8323393 26589181 345659353 17024015616241 221312203011133