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220013121331301 = 4361307856331907
BaseRepresentation
bin110010000001100111001011…
…111100010110000001100101
31001212000001022201012020221112
4302001213023330112001211
5212314143333030100201
62055532344351154405
764225265150661554
oct6201471374260145
91055001281166845
10220013121331301
116411504a296841
1220814025215a05
13959c1c0b1647c
143c48998791d9b
151a680a5d420bb
hexc819cbf16065

220013121331301 has 32 divisors (see below), whose sum is σ = 229599704345088. Its totient is φ = 210653923112640.

The previous prime is 220013121331291. The next prime is 220013121331349. The reversal of 220013121331301 is 103133121310022.

It is not a de Polignac number, because 220013121331301 - 246 = 149644377153637 is a prime.

It is a super-2 number, since 2×2200131213313012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220013121331901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6895433990 + ... + 6895465896.

It is an arithmetic number, because the mean of its divisors is an integer number (7174990760784).

Almost surely, 2220013121331301 is an apocalyptic number.

It is an amenable number.

220013121331301 is a deficient number, since it is larger than the sum of its proper divisors (9586583013787).

220013121331301 is a wasteful number, since it uses less digits than its factorization.

220013121331301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40881.

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

Adding to 220013121331301 its reverse (103133121310022), we get a palindrome (323146242641323).

The spelling of 220013121331301 in words is "two hundred twenty trillion, thirteen billion, one hundred twenty-one million, three hundred thirty-one thousand, three hundred one".

Divisors: 1 43 61 307 2623 8563 13201 18727 31907 368209 522343 805261 1372001 1946327 2628841 9795449 22460749 83692061 113040163 160359301 273219641 421204307 597522389 6895449943 11748444563 16666398101 25693462727 83878429787 716655118343 3606772480841 5116584217007 220013121331301