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12001311 = 33763499
BaseRepresentation
bin101101110010…
…000000011111
3211120201201000
4231302000133
511033020221
61105121343
7204003150
oct55620037
924521630
1012001311
116857843
124029253
13264278a
141845927
1510c0e26
hexb7201f

12001311 has 16 divisors (see below), whose sum is σ = 20320000. Its totient is φ = 6857784.

The previous prime is 12001307. The next prime is 12001333. The reversal of 12001311 is 11310021.

12001311 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 12001311 - 22 = 12001307 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001293 and 12001302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31561 + ... + 31938.

It is an arithmetic number, because the mean of its divisors is an integer number (1270000).

Almost surely, 212001311 is an apocalyptic number.

12001311 is a deficient number, since it is larger than the sum of its proper divisors (8318689).

12001311 is an equidigital number, since it uses as much as digits as its factorization.

12001311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63515 (or 63509 counting only the distinct ones).

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

The square root of 12001311 is about 3464.2908365205. The cubic root of 12001311 is about 228.9511855425.

Adding to 12001311 its reverse (11310021), we get a palindrome (23311332).

The spelling of 12001311 in words is "twelve million, one thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 63 189 63499 190497 444493 571491 1333479 1714473 4000437 12001311