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3213117 = 32379649
BaseRepresentation
bin1100010000011100111101
320001020120100
430100130331
51310304432
6152511313
736211455
oct14203475
96036510
103213117
1118a5076
1210ab539
1388666b
145d8d65
1543707c
hex31073d

3213117 has 12 divisors (see below), whose sum is σ = 4767100. Its totient is φ = 2083968.

The previous prime is 3213101. The next prime is 3213127. The reversal of 3213117 is 7113123.

Added to its reverse (7113123) it gives a triangular number (10326240 = T4544).

3213117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1610361 + 1602756 = 1269^2 + 1266^2 .

It is not a de Polignac number, because 3213117 - 24 = 3213101 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 3213117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4492 + ... + 5157.

Almost surely, 23213117 is an apocalyptic number.

3213117 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

3213117 is a deficient number, since it is larger than the sum of its proper divisors (1553983).

3213117 is a wasteful number, since it uses less digits than its factorization.

3213117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9692 (or 9689 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 3213117 is about 1792.5169455266. The cubic root of 3213117 is about 147.5623331297.

Adding to 3213117 its reverse (7113123), we get a triangular number (10326240 = T4544).

The spelling of 3213117 in words is "three million, two hundred thirteen thousand, one hundred seventeen".

Divisors: 1 3 9 37 111 333 9649 28947 86841 357013 1071039 3213117