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12002022191 = 83709203953
BaseRepresentation
bin10110010110110000…
…00101001100101111
31010222102220220021102
423023120011030233
5144040004202231
65302540553315
7603264335225
oct131330051457
933872826242
1012002022191
1150a9912a05
1223ab55283b
1311936c20a3
1481bdc6b15
154a3a1eacb
hex2cb60532f

12002022191 has 8 divisors (see below), whose sum is σ = 12163816560. Its totient is φ = 11840637312.

The previous prime is 12002022143. The next prime is 12002022233. The reversal of 12002022191 is 19122020021.

It is a happy number.

12002022191 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 12002022191 - 210 = 12002021167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002022101) 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, 43130 + ... + 160823.

It is an arithmetic number, because the mean of its divisors is an integer number (1520477070).

Almost surely, 212002022191 is an apocalyptic number.

12002022191 is a deficient number, since it is larger than the sum of its proper divisors (161794369).

12002022191 is an equidigital number, since it uses as much as digits as its factorization.

12002022191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204745.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 12002022191 in words is "twelve billion, two million, twenty-two thousand, one hundred ninety-one".

Divisors: 1 83 709 58847 203953 16928099 144602677 12002022191