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212113320 = 23351767611
BaseRepresentation
bin11001010010010…
…01011110101000
3112210010110202220
430221021132220
5413300111240
633014154040
75153635116
oct1451113650
9483113686
10212113320
11a9806971
125b052920
1334c38a53
1420256ab6
151394d5d0
hexca497a8

212113320 has 32 divisors (see below), whose sum is σ = 636340320. Its totient is φ = 56563520.

The previous prime is 212113313. The next prime is 212113327. The reversal of 212113320 is 23311212.

212113320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212113313) and next prime (212113327).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212113320.

It is not an unprimeable number, because it can be changed into a prime (212113327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883686 + ... + 883925.

It is an arithmetic number, because the mean of its divisors is an integer number (19885635).

Almost surely, 2212113320 is an apocalyptic number.

212113320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212113320 is an abundant number, since it is smaller than the sum of its proper divisors (424227000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212113320 is a wasteful number, since it uses less digits than its factorization.

212113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767625 (or 1767621 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 212113320 is about 14564.1106834575. The cubic root of 212113320 is about 596.3794184832.

Adding to 212113320 its reverse (23311212), we get a palindrome (235424532).

It can be divided in two parts, 21211 and 3320, that added together give a triangular number (24531 = T221).

The spelling of 212113320 in words is "two hundred twelve million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1767611 3535222 5302833 7070444 8838055 10605666 14140888 17676110 21211332 26514165 35352220 42422664 53028330 70704440 106056660 212113320