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10221110249 = 719257299029
BaseRepresentation
bin10011000010011100…
…11100001111101001
3222101022211012100212
421201032130033221
5131413101011444
64410121510505
7511201001150
oct114116341751
928338735325
1010221110249
114375606459
121b93042435
13c6b75633c
146cd67c597
153ec4d719e
hex26139c3e9

10221110249 has 16 divisors (see below), whose sum is σ = 12343958400. Its totient is φ = 8267526144.

The previous prime is 10221110227. The next prime is 10221110279. The reversal of 10221110249 is 94201112201.

10221110249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10221110249 - 212 = 10221106153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221110279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115334 + ... + 183695.

It is an arithmetic number, because the mean of its divisors is an integer number (771497400).

Almost surely, 210221110249 is an apocalyptic number.

10221110249 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10221110249 is a deficient number, since it is larger than the sum of its proper divisors (2122848151).

10221110249 is a wasteful number, since it uses less digits than its factorization.

10221110249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299312.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 10221110249 in words is "ten billion, two hundred twenty-one million, one hundred ten thousand, two hundred forty-nine".

Divisors: 1 7 19 133 257 1799 4883 34181 299029 2093203 5681551 39770857 76850453 537953171 1460158607 10221110249