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221300311342201 = 71342127292116679
BaseRepresentation
bin110010010100010101111110…
…011100100011110001111001
31002000120002210012021211122221
4302110111332130203301321
5213001241014200422301
62102355543132244041
764420264005360250
oct6224257634436171
91060502705254587
10221300311342201
1164570a31513583
12209a1596610621
1396636b70095b0
143c90dc6913797
151a8b7e0349da1
hexc9457e723c79

221300311342201 has 32 divisors (see below), whose sum is σ = 273116744409600. Its totient is φ = 174614758940160.

The previous prime is 221300311342183. The next prime is 221300311342223. The reversal of 221300311342201 is 102243113003122.

It is not a de Polignac number, because 221300311342201 - 29 = 221300311341689 is a prime.

It is a super-2 number, since 2×2213003113422012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221300311342501) 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, 103492380 + ... + 105609058.

It is an arithmetic number, because the mean of its divisors is an integer number (8534898262800).

Almost surely, 2221300311342201 is an apocalyptic number.

It is an amenable number.

221300311342201 is a deficient number, since it is larger than the sum of its proper divisors (51816433067399).

221300311342201 is a wasteful number, since it uses less digits than its factorization.

221300311342201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119849.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 221300311342201 its reverse (102243113003122), we get a palindrome (323543424345323).

The spelling of 221300311342201 in words is "two hundred twenty-one trillion, three hundred billion, three hundred eleven million, three hundred forty-two thousand, two hundred one".

Divisors: 1 7 13 91 421 2729 2947 5473 19103 35477 38311 248339 1148909 2116679 8042363 14816753 14935817 27516827 104550719 192617789 891121859 5776416991 6237853013 11584584167 40434918937 75093420883 81092089169 525653946181 2431871553211 17023100872477 31614330191743 221300311342201