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2022441331313 = 132931182144917
BaseRepresentation
bin11101011011100010111…
…001011010101001110001
321011100021102011121012002
4131123202321122221301
5231113424440100223
64145032520343345
7266054660446664
oct35334271325161
97140242147162
102022441331313
1170a792452197
12287b67614b55
1311893b969440
146dc5b0b36db
153791d235e28
hex1d6e2e5aa71

2022441331313 has 16 divisors (see below), whose sum is σ = 2185680773136. Its totient is φ = 1860298548480.

The previous prime is 2022441331259. The next prime is 2022441331373. The reversal of 2022441331313 is 3131331442202.

It can be written as a sum of positive squares in 8 ways, for example, as 221885276209 + 1800556055104 = 471047^2 + 1341848^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022441331313 - 230 = 2021367589489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2022441331373) 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, 45003731 + ... + 45048647.

It is an arithmetic number, because the mean of its divisors is an integer number (136605048321).

Almost surely, 22022441331313 is an apocalyptic number.

It is an amenable number.

2022441331313 is a deficient number, since it is larger than the sum of its proper divisors (163239441823).

2022441331313 is a wasteful number, since it uses less digits than its factorization.

2022441331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57044.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 2022441331313 its reverse (3131331442202), we get a palindrome (5153772773515).

The spelling of 2022441331313 in words is "two trillion, twenty-two billion, four hundred forty-one million, three hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 13 293 3809 11821 44917 153673 583921 3463553 13160681 45026189 171088853 530963857 6902530141 155572410101 2022441331313