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221302013133103 = 7235232628196301
BaseRepresentation
bin110010010100010111100011…
…111000011000000100101111
31002000120021011210111202220121
4302110113203320120010233
5213001303010330224403
62102400424043425411
764420354121351620
oct6224274370300457
91060507153452817
10221302013133103
116457172509a241
12209a1990525267
1396638c8762066
143c91108943a47
151a8b88e9543bd
hexc945e3e1812f

221302013133103 has 16 divisors (see below), whose sum is σ = 264417573551616. Its totient is φ = 181093237855200.

The previous prime is 221302013133049. The next prime is 221302013133199. The reversal of 221302013133103 is 301331310203122.

It is a cyclic number.

It is not a de Polignac number, because 221302013133103 - 221 = 221302011035951 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 (221302013133203) 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, 1314013948 + ... + 1314182353.

It is an arithmetic number, because the mean of its divisors is an integer number (16526098346976).

Almost surely, 2221302013133103 is an apocalyptic number.

221302013133103 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

221302013133103 is a deficient number, since it is larger than the sum of its proper divisors (43115560418513).

221302013133103 is a wasteful number, since it uses less digits than its factorization.

221302013133103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628196854.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 221302013133103 its reverse (301331310203122), we get a palindrome (522633323336225).

The spelling of 221302013133103 in words is "two hundred twenty-one trillion, three hundred two billion, thirteen million, one hundred thirty-three thousand, one hundred three".

Divisors: 1 7 23 161 523 3661 12029 84203 2628196301 18397374107 60448514923 423139604461 1374546665423 9621826657961 31614573304729 221302013133103