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221302013133303 = 3319431387939831
BaseRepresentation
bin110010010100010111100011…
…111000011000000111110111
31002000120021011210111210012000
4302110113203320120013313
5213001303010330231203
62102400424043430343
764420354121352324
oct6224274370300767
91060507153453160
10221302013133303
116457172509a403
12209a19905253b3
1396638c876218b
143c91108943b4b
151a8b88e9544a3
hexc945e3e181f7

221302013133303 has 16 divisors (see below), whose sum is σ = 345110351865600. Its totient is φ = 139769692504920.

The previous prime is 221302013133283. The next prime is 221302013133317. The reversal of 221302013133303 is 303331310203122.

221302013133303 is a `hidden beast` number, since 2 + 2 + 1 + 302 + 0 + 13 + 13 + 330 + 3 = 666.

It is not a de Polignac number, because 221302013133303 - 210 = 221302013132279 is a prime.

It is a super-2 number, since 2×2213020131333032 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221302013133373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215693969403 + ... + 215693970428.

It is an arithmetic number, because the mean of its divisors is an integer number (21569396991600).

Almost surely, 2221302013133303 is an apocalyptic number.

221302013133303 is a deficient number, since it is larger than the sum of its proper divisors (123808338732297).

221302013133303 is a wasteful number, since it uses less digits than its factorization.

221302013133303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431387939859 (or 431387939853 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 221302013133303 its reverse (303331310203122), we get a palindrome (524633323336425).

The spelling of 221302013133303 in words is "two hundred twenty-one trillion, three hundred two billion, thirteen million, one hundred thirty-three thousand, three hundred three".

Divisors: 1 3 9 19 27 57 171 513 431387939831 1294163819493 3882491458479 8196370856789 11647474375437 24589112570367 73767337711101 221302013133303