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1320224220231 = 37187333565307
BaseRepresentation
bin10011001101100011011…
…111101110010001000111
311200012201200210021210220
4103031203133232101013
5133112304400021411
62450300322515423
7164245246466520
oct23154337562107
94605650707726
101320224220231
114699a4177194
12193a50505b73
139765c089667
1447c83559847
152451e6d1b06
hex133637ee447

1320224220231 has 16 divisors (see below), whose sum is σ = 2012844390144. Its totient is φ = 754011033984.

The previous prime is 1320224220221. The next prime is 1320224220257.

1320224220231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1320224220231 - 26 = 1320224220167 is a prime.

It is a super-2 number, since 2×13202242202312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320224220221) 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 15 ways as a sum of consecutive naturals, for example, 16743321 + ... + 16821986.

It is an arithmetic number, because the mean of its divisors is an integer number (125802774384).

Almost surely, 21320224220231 is an apocalyptic number.

1320224220231 is a deficient number, since it is larger than the sum of its proper divisors (692620169913).

1320224220231 is a wasteful number, since it uses less digits than its factorization.

1320224220231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33567190.

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 1320224220231 in words is "one trillion, three hundred twenty billion, two hundred twenty-four million, two hundred twenty thousand, two hundred thirty-one".

Divisors: 1 3 7 21 1873 5619 13111 39333 33565307 100695921 234957149 704871447 62867820011 188603460033 440074740077 1320224220231