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10221312199 = 710611376237
BaseRepresentation
bin10011000010011110…
…01101100011000111
3222101100012110101111
421201033031203013
5131413123442244
64410130105451
7511202502010
oct114117154307
928340173344
1010221312199
11437573415a
121b9311b287
13c6b7c7237
146cd6d2007
153ec526e34
hex2613cd8c7

10221312199 has 8 divisors (see below), whose sum is σ = 11692518048. Its totient is φ = 8752860960.

The previous prime is 10221312163. The next prime is 10221312209. The reversal of 10221312199 is 99121312201.

10221312199 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 10221312199 - 213 = 10221304007 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10221312199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221312139) 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, 680692 + ... + 695545.

It is an arithmetic number, because the mean of its divisors is an integer number (1461564756).

Almost surely, 210221312199 is an apocalyptic number.

10221312199 is a deficient number, since it is larger than the sum of its proper divisors (1471205849).

10221312199 is a wasteful number, since it uses less digits than its factorization.

10221312199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377305.

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 10221312199 in words is "ten billion, two hundred twenty-one million, three hundred twelve thousand, one hundred ninety-nine".

Divisors: 1 7 1061 7427 1376237 9633659 1460187457 10221312199