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12002022231 = 352166111617
BaseRepresentation
bin10110010110110000…
…00101001101010111
31010222102220220022220
423023120011031113
5144040004202411
65302540553423
7603264335313
oct131330051527
933872826286
1012002022231
1150a9912a41
1223ab552873
1311936c2104
1481bdc6b43
154a3a1eb06
hex2cb605357

12002022231 has 16 divisors (see below), whose sum is σ = 16059050208. Its totient is φ = 7973222400.

The previous prime is 12002022143. The next prime is 12002022233. The reversal of 12002022231 is 13222020021.

It is a happy number.

12002022231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12002022231 - 217 = 12001891159 is a prime.

It is a super-2 number, since 2×120020222312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12002022231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002022233) 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, 1027335 + ... + 1038951.

It is an arithmetic number, because the mean of its divisors is an integer number (1003690638).

Almost surely, 212002022231 is an apocalyptic number.

12002022231 is a deficient number, since it is larger than the sum of its proper divisors (4057027977).

12002022231 is a wasteful number, since it uses less digits than its factorization.

12002022231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12802.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12002022231 its reverse (13222020021), we get a palindrome (25224042252).

The spelling of 12002022231 in words is "twelve billion, two million, twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 521 661 1563 1983 11617 34851 344381 1033143 6052457 7678837 18157371 23036511 4000674077 12002022231