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13022101012201 = 4710315117814311
BaseRepresentation
bin1011110101111111000110…
…1101000111111011101001
31201002220022121110021102221
42331133301231013323221
53201323230324342301
643410134241554041
72512546542166321
oct275376155077351
951086277407387
1013022101012201
114170707599336
12156392b345921
13735c95716828
143303b737c281
15178b04ab9da1
hexbd7f1b47ee9

13022101012201 has 16 divisors (see below), whose sum is σ = 13517214916608. Its totient is φ = 12537711378000.

The previous prime is 13022101012183. The next prime is 13022101012213. The reversal of 13022101012201 is 10221010122031.

It is a cyclic number.

It is not a de Polignac number, because 13022101012201 - 211 = 13022101010153 is a prime.

It is a super-2 number, since 2×130221010122012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13022101012601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8176165 + ... + 9638146.

It is an arithmetic number, because the mean of its divisors is an integer number (844825932288).

Almost surely, 213022101012201 is an apocalyptic number.

It is an amenable number.

13022101012201 is a deficient number, since it is larger than the sum of its proper divisors (495113904407).

13022101012201 is a wasteful number, since it uses less digits than its factorization.

13022101012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17814612.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 13022101012201 its reverse (10221010122031), we get a palindrome (23243111134232).

The spelling of 13022101012201 in words is "thirteen trillion, twenty-two billion, one hundred one million, twelve thousand, two hundred one".

Divisors: 1 47 103 151 4841 7097 15553 730991 17814311 837272617 1834874033 2689960961 86239079551 126428165167 277065978983 13022101012201