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31213413 = 3271173617
BaseRepresentation
bin111011100010…
…0011101100101
32011201210202100
41313010131211
530442312123
63033002313
7526211130
oct167043545
964653670
1031213413
111668a110
12a553399
13660b39a
144207217
152b18643
hex1dc4765

31213413 has 48 divisors (see below), whose sum is σ = 57073536. Its totient is φ = 15966720.

The previous prime is 31213397. The next prime is 31213417. The reversal of 31213413 is 31431213.

It is not a de Polignac number, because 31213413 - 24 = 31213397 is a prime.

It is a super-2 number, since 2×312134132 = 1948554302217138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50281 + ... + 50897.

It is an arithmetic number, because the mean of its divisors is an integer number (1189032).

Almost surely, 231213413 is an apocalyptic number.

31213413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31213413 is a deficient number, since it is larger than the sum of its proper divisors (25860123).

31213413 is a wasteful number, since it uses less digits than its factorization.

31213413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 711 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 31213413 is about 5586.8965445943. The cubic root of 31213413 is about 314.8572898526.

Adding to 31213413 its reverse (31431213), we get a palindrome (62644626).

It can be divided in two parts, 31213 and 413, that added together give a triangular number (31626 = T251).

The spelling of 31213413 in words is "thirty-one million, two hundred thirteen thousand, four hundred thirteen".

Divisors: 1 3 7 9 11 21 33 63 73 77 99 219 231 511 617 657 693 803 1533 1851 2409 4319 4599 5553 5621 6787 7227 12957 16863 20361 38871 45041 47509 50589 61083 135123 142527 315287 405369 427581 495451 945861 1486353 2837583 3468157 4459059 10404471 31213413