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1100211021221 = 13177747626121
BaseRepresentation
bin10000000000101001101…
…011111110010110100101
310220011211121010202102112
4100000221223332112211
5121011213010134341
62201232512250405
7142326153243524
oct20005153762645
93804747122375
101100211021221
113946624913a4
1215928a540a05
137c998720bc0
143b3715184bb
151d944285aeb
hex10029afe5a5

1100211021221 has 8 divisors (see below), whose sum is σ = 1185509428824. Its totient is φ = 1015007869440.

The previous prime is 1100211021073. The next prime is 1100211021223. The reversal of 1100211021221 is 1221201120011.

It can be written as a sum of positive squares in 4 ways, for example, as 35158125025 + 1065052896196 = 187505^2 + 1032014^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1100211021221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100211021196 and 1100211021205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100211021223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23789960 + ... + 23836161.

It is an arithmetic number, because the mean of its divisors is an integer number (148188678603).

Almost surely, 21100211021221 is an apocalyptic number.

It is an amenable number.

1100211021221 is a deficient number, since it is larger than the sum of its proper divisors (85298407603).

1100211021221 is a wasteful number, since it uses less digits than its factorization.

1100211021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47627911.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1100211021221 its reverse (1221201120011), we get a palindrome (2321412141232).

The spelling of 1100211021221 in words is "one trillion, one hundred billion, two hundred eleven million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 13 1777 23101 47626121 619139573 84631617017 1100211021221