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10221114340 = 2251730062101
BaseRepresentation
bin10011000010011100…
…11101001111100100
3222101022211101222101
421201032131033210
5131413101124330
64410121541444
7511201016113
oct114116351744
928338741871
1010221114340
114375609538
121b93044884
13c6b758168
146cd67dc7a
153ec4d84ca
hex26139d3e4

10221114340 has 24 divisors (see below), whose sum is σ = 22726949112. Its totient is φ = 3847948800.

The previous prime is 10221114283. The next prime is 10221114373. The reversal of 10221114340 is 4341112201.

10221114340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 799305984 + 9421808356 = 28272^2 + 97066^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15030711 + ... + 15031390.

It is an arithmetic number, because the mean of its divisors is an integer number (946956213).

Almost surely, 210221114340 is an apocalyptic number.

10221114340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221114340 is an abundant number, since it is smaller than the sum of its proper divisors (12505834772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10221114340 is a wasteful number, since it uses less digits than its factorization.

10221114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30062127 (or 30062125 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10221114340 its reverse (4341112201), we get a palindrome (14562226541).

The spelling of 10221114340 in words is "ten billion, two hundred twenty-one million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 30062101 60124202 120248404 150310505 300621010 511055717 601242020 1022111434 2044222868 2555278585 5110557170 10221114340