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1001110110221 = 13175578132693
BaseRepresentation
bin11101001000101101101…
…00000000000000001101
310112201001002021212102102
432210112310000000031
5112400233142011341
62043523104004445
7132220304350664
oct16442664000015
93481032255372
101001110110221
11356628616161
12142031900725
13735342792b0
143664da57ddb
151b093e47c9b
hexe916d0000d

1001110110221 has 16 divisors (see below), whose sum is σ = 1143586899504. Its totient is φ = 868181136384.

The previous prime is 1001110110191. The next prime is 1001110110227. The reversal of 1001110110221 is 1220110111001.

It can be written as a sum of positive squares in 8 ways, for example, as 308030550025 + 693079560196 = 555005^2 + 832514^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001110110221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001110110227) 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, 3943250 + ... + 4189443.

It is an arithmetic number, because the mean of its divisors is an integer number (71474181219).

Almost surely, 21001110110221 is an apocalyptic number.

It is an amenable number.

1001110110221 is a deficient number, since it is larger than the sum of its proper divisors (142476789283).

1001110110221 is a wasteful number, since it uses less digits than its factorization.

1001110110221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8133280.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1001110110221 its reverse (1220110111001), we get a palindrome (2221220221222).

The spelling of 1001110110221 in words is "one trillion, one billion, one hundred ten million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 13 17 221 557 7241 9469 123097 8132693 105725009 138255781 1797325153 4529910001 58888830013 77008470017 1001110110221