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221300121331012 = 22616734093329257
BaseRepresentation
bin110010010100010101110011…
…000111101110010101000100
31002000120002021221202021022111
4302110111303013232111010
5213001240122030043022
62102355512223510404
764420256210324623
oct6224256307562504
91060502257667274
10221300121331012
1164570944233339
12209a1542a58404
13966368683ba39
143c90da95b16ba
151a8b7cd815477
hexc945731ee544

221300121331012 has 48 divisors (see below), whose sum is σ = 394306376426032. Its totient is φ = 108647526113280.

The previous prime is 221300121330943. The next prime is 221300121331033. The reversal of 221300121331012 is 210133121003122.

It can be written as a sum of positive squares in 8 ways, for example, as 49613766039616 + 171686355291396 = 7043704^2 + 13102914^2 .

It is a super-2 number, since 2×2213001213310122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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, 671955088 + ... + 672284344.

Almost surely, 2221300121331012 is an apocalyptic number.

It is an amenable number.

221300121331012 is a deficient number, since it is larger than the sum of its proper divisors (173006255095020).

221300121331012 is a wasteful number, since it uses less digits than its factorization.

221300121331012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334088 (or 334086 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 221300121331012 its reverse (210133121003122), we get a palindrome (431433242334134).

The spelling of 221300121331012 in words is "two hundred twenty-one trillion, three hundred billion, one hundred twenty-one million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 4 61 122 244 673 1346 2692 4093 8186 16372 41053 82106 164212 249673 329257 499346 658514 998692 1317028 2754589 5509178 11018356 20084677 40169354 80338708 168029929 221589961 336059858 443179922 672119716 886359844 1347648901 2695297802 5390595604 13516987621 27033975242 54067950484 82206582961 164413165922 328826331844 906967710373 1813935420746 3627870841492 55325030332753 110650060665506 221300121331012