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12000001311 = 332811581653
BaseRepresentation
bin10110010110100000…
…10111110100011111
31010222022010020011000
423023100113310133
5144034000020221
65302425401343
7603241220364
oct131320276437
933868106130
1012000001311
1150a8762661
1223aa939253
1311931652bc
1481ba1c46b
154a3770e26
hex2cb417d1f

12000001311 has 16 divisors (see below), whose sum is σ = 17841057120. Its totient is φ = 7971526080.

The previous prime is 12000001309. The next prime is 12000001333. The reversal of 12000001311 is 11310000021.

It is not a de Polignac number, because 12000001311 - 21 = 12000001309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12000001293 and 12000001302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000001381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783240 + ... + 798413.

It is an arithmetic number, because the mean of its divisors is an integer number (1115066070).

Almost surely, 212000001311 is an apocalyptic number.

12000001311 is a deficient number, since it is larger than the sum of its proper divisors (5841055809).

12000001311 is a wasteful number, since it uses less digits than its factorization.

12000001311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581943 (or 1581937 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12000001311 its reverse (11310000021), we get a palindrome (23310001332).

The spelling of 12000001311 in words is "twelve billion, one thousand, three hundred eleven".

Divisors: 1 3 9 27 281 843 2529 7587 1581653 4744959 14234877 42704631 444444493 1333333479 4000000437 12000001311