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10221200341 = 114432097517
BaseRepresentation
bin10011000010011101…
…10010001111010101
3222101022222202221121
421201032302033111
5131413111402331
64410123443541
7511201524622
oct114116621725
928338882847
1010221200341
114375668110
121b930865b1
13c6b788351
146cd6a3349
153ec503c11
hex2613b23d5

10221200341 has 8 divisors (see below), whose sum is σ = 11175575904. Its totient is φ = 9271020720.

The previous prime is 10221200333. The next prime is 10221200369. The reversal of 10221200341 is 14300212201.

10221200341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 10221200341 - 23 = 10221200333 is a prime.

It is a super-3 number, since 3×102212003413 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221200441) 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 7 ways as a sum of consecutive naturals, for example, 1043886 + ... + 1053631.

It is an arithmetic number, because the mean of its divisors is an integer number (1396946988).

Almost surely, 210221200341 is an apocalyptic number.

10221200341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221200341 is a deficient number, since it is larger than the sum of its proper divisors (954375563).

10221200341 is a wasteful number, since it uses less digits than its factorization.

10221200341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097971.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10221200341 its reverse (14300212201), we get a palindrome (24521412542).

The spelling of 10221200341 in words is "ten billion, two hundred twenty-one million, two hundred thousand, three hundred forty-one".

Divisors: 1 11 443 4873 2097517 23072687 929200031 10221200341