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1023321211133 = 132322914945323
BaseRepresentation
bin11101110010000101011…
…00101000000011111101
310121211101000101200220112
432321002230220003331
5113231230212224013
62102035100555405
7133634565530144
oct16710254500375
93554330350815
101023321211133
11364a96167001
121463b0252b65
1375663a71260
143775986a75b
151b943d74ba8
hexee42b280fd

1023321211133 has 16 divisors (see below), whose sum is σ = 1154974638720. Its totient is φ = 899588821824.

The previous prime is 1023321211117. The next prime is 1023321211151. The reversal of 1023321211133 is 3311121233201.

1023321211133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1023321211133 - 24 = 1023321211117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 1023321211099 and 1023321211108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023321211333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7404191 + ... + 7541132.

It is an arithmetic number, because the mean of its divisors is an integer number (72185914920).

Almost surely, 21023321211133 is an apocalyptic number.

1023321211133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1023321211133 is a deficient number, since it is larger than the sum of its proper divisors (131653427587).

1023321211133 is a wasteful number, since it uses less digits than its factorization.

1023321211133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14945588.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1023321211133 its reverse (3311121233201), we get a palindrome (4334442444334).

The spelling of 1023321211133 in words is "one trillion, twenty-three billion, three hundred twenty-one million, two hundred eleven thousand, one hundred thirty-three".

Divisors: 1 13 23 229 299 2977 5267 68471 14945323 194289199 343742429 3422478967 4468651577 44492226571 78717016241 1023321211133