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221302013133331 = 1367722113518551
BaseRepresentation
bin110010010100010111100011…
…111000011000001000010011
31002000120021011210111210020001
4302110113203320120020103
5213001303010330231311
62102400424043430431
764420354121352364
oct6224274370301023
91060507153453201
10221302013133331
116457172509a429
12209a1990525417
1396638c87621b0
143c91108943b6b
151a8b88e9544c1
hexc945e3e18213

221302013133331 has 16 divisors (see below), whose sum is σ = 241885756526848. Its totient is φ = 201227000436000.

The previous prime is 221302013133317. The next prime is 221302013133373. The reversal of 221302013133331 is 133331310203122.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 221302013133331 - 27 = 221302013133203 is a prime.

It is a super-2 number, since 2×2213020131333312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221302013133331.

It is not an unprimeable number, because it can be changed into a prime (221302013133391) 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, 61136506 + ... + 64655056.

It is an arithmetic number, because the mean of its divisors is an integer number (15117859782928).

Almost surely, 2221302013133331 is an apocalyptic number.

221302013133331 is a deficient number, since it is larger than the sum of its proper divisors (20583743393517).

221302013133331 is a wasteful number, since it uses less digits than its factorization.

221302013133331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590842.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 221302013133331 its reverse (133331310203122), we get a palindrome (354633323336453).

The spelling of 221302013133331 in words is "two hundred twenty-one trillion, three hundred two billion, thirteen million, one hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 13 67 871 72211 938743 3518551 4838137 45741163 62895781 235742917 3064657921 254078086261 3303015121393 17023231779487 221302013133331