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201201333333013 = 135326138988253
BaseRepresentation
bin101101101111110111010110…
…000000000110110000010101
3222101101122210212020111121001
4231233313112000012300111
5202332440312313124023
61551530341100023301
760244213414211026
oct5557672600066025
9871348725214531
10201201333333013
11591220083a4252
121a6961bb531b31
138836286b82920
1437982a7268c4d
15183da95d516ad
hexb6fdd6006c15

201201333333013 has 24 divisors (see below), whose sum is σ = 221204058852392. Its totient is φ = 181922795728128.

The previous prime is 201201333332977. The next prime is 201201333333023. The reversal of 201201333333013 is 310333333102102.

201201333333013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 51614784341649 + 149586548991364 = 7184343^2 + 12230558^2 .

It is not a de Polignac number, because 201201333333013 - 233 = 201192743398421 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201201333333023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17890795 + ... + 26879047.

Almost surely, 2201201333333013 is an apocalyptic number.

It is an amenable number.

201201333333013 is a deficient number, since it is larger than the sum of its proper divisors (20002725519379).

201201333333013 is an equidigital number, since it uses as much as digits as its factorization.

201201333333013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8988985 (or 8988932 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 201201333333013 its reverse (310333333102102), we get a palindrome (511534666435115).

The spelling of 201201333333013 in words is "two hundred one trillion, two hundred one billion, three hundred thirty-three million, three hundred thirty-three thousand, thirteen".

Divisors: 1 13 53 613 689 2809 7969 32489 36517 422357 1721917 8988253 22384921 116847289 476377409 5509799089 6192906317 25248002677 71627388157 292019351717 328224034801 3796251572321 15477025641001 201201333333013