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221300003203101 = 32286129532910433
BaseRepresentation
bin110010010100010101101100…
…000101000110100000011101
31002000120001222201110202021200
4302110111230011012200131
5213001234401304444401
62102355452403550113
764420253244261444
oct6224255405064035
91060501881422250
10221300003203101
1164570893590069
12209a150b38b339
13966366821bc74
143c90d97a21d5b
151a8b7c327e686
hexc9456c14681d

221300003203101 has 24 divisors (see below), whose sum is σ = 319875684271416. Its totient is φ = 147431774730240.

The previous prime is 221300003203091. The next prime is 221300003203151. The reversal of 221300003203101 is 101302300003122.

221300003203101 is a `hidden beast` number, since 2 + 2 + 1 + 30 + 0 + 0 + 0 + 320 + 310 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89530863305625 + 131769139897476 = 9462075^2 + 11479074^2 .

It is not a de Polignac number, because 221300003203101 - 219 = 221300002678813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221300003203151) 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, 74581581 + ... + 77492013.

It is an arithmetic number, because the mean of its divisors is an integer number (13328153511309).

Almost surely, 2221300003203101 is an apocalyptic number.

It is an amenable number.

221300003203101 is a deficient number, since it is larger than the sum of its proper divisors (98575681068315).

221300003203101 is a wasteful number, since it uses less digits than its factorization.

221300003203101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916253 (or 2916250 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221300003203101 its reverse (101302300003122), we get a palindrome (322602303206223).

The spelling of 221300003203101 in words is "two hundred twenty-one trillion, three hundred billion, three million, two hundred three thousand, one hundred one".

Divisors: 1 3 9 2861 2953 8583 8859 25749 26577 2910433 8448533 8731299 25345599 26193897 76036797 8326748813 8594508649 24980246439 25783525947 74940739317 77350577841 24588889244789 73766667734367 221300003203101