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1001110100221 = 711103912513407
BaseRepresentation
bin11101001000101101100…
…11111101100011111101
310112201001002021100201001
432210112303331203331
5112400233141201341
62043523103450301
7132220304306560
oct16442663754375
93481032240631
101001110100221
113566286096a0
121420318b6991
137353427488a
143664da544d7
151b093e44d31
hexe916cfd8fd

1001110100221 has 16 divisors (see below), whose sum is σ = 1249338654720. Its totient is φ = 779334925680.

The previous prime is 1001110100219. The next prime is 1001110100239. The reversal of 1001110100221 is 1220010111001.

It is a cyclic number.

It is not a de Polignac number, because 1001110100221 - 21 = 1001110100219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001110100198 and 1001110100207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001110100281) 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, 6176701 + ... + 6336706.

It is an arithmetic number, because the mean of its divisors is an integer number (78083665920).

Almost surely, 21001110100221 is an apocalyptic number.

1001110100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001110100221 is a deficient number, since it is larger than the sum of its proper divisors (248228554499).

1001110100221 is a wasteful number, since it uses less digits than its factorization.

1001110100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12514464.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001110100221 its reverse (1220010111001), we get a palindrome (2221120211222).

The spelling of 1001110100221 in words is "one trillion, one billion, one hundred ten million, one hundred thousand, two hundred twenty-one".

Divisors: 1 7 11 77 1039 7273 11429 80003 12513407 87593849 137647477 963532339 13001429873 91010009111 143015728603 1001110100221