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223212220311001 = 1991121669448799
BaseRepresentation
bin110010110000001010100101…
…000110011110010111011001
31002021022212202102022122101211
4302300022211012132113121
5213224102111344423001
62110422140044543121
765005356621434425
oct6260124506362731
91067285672278354
10223212220311001
1165138853264839
1221050034b51aa1
139771a8c0a261c
143d19759c25b85
151ac13de87b351
hexcb02a519e5d9

223212220311001 has 4 divisors (see below), whose sum is σ = 224333889760000. Its totient is φ = 222090550862004.

The previous prime is 223212220310987. The next prime is 223212220311049. The reversal of 223212220311001 is 100113022212322.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 223212220311001 - 231 = 223210072827353 is a prime.

It is a super-3 number, since 3×2232122203110013 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223212220317001) 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 3 ways as a sum of consecutive naturals, for example, 560834724201 + ... + 560834724598.

It is an arithmetic number, because the mean of its divisors is an integer number (56083472440000).

Almost surely, 2223212220311001 is an apocalyptic number.

It is an amenable number.

223212220311001 is a deficient number, since it is larger than the sum of its proper divisors (1121669448999).

223212220311001 is a wasteful number, since it uses less digits than its factorization.

223212220311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121669448998.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 223212220311001 its reverse (100113022212322), we get a palindrome (323325242523323).

The spelling of 223212220311001 in words is "two hundred twenty-three trillion, two hundred twelve billion, two hundred twenty million, three hundred eleven thousand, one".

Divisors: 1 199 1121669448799 223212220311001