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213111312320 = 265665972851
BaseRepresentation
bin1100011001111001101…
…1001000111111000000
3202101002002112100202102
43012132123020333000
511442422443443240
6241522455005532
721253045160234
oct3063633107700
9671062470672
10213111312320
118241a864205
12353766698a8
131713379564a
14a4595445c4
155824562815
hex319e6c8fc0

213111312320 has 28 divisors (see below), whose sum is σ = 507471313224. Its totient is φ = 85244524800.

The previous prime is 213111312317. The next prime is 213111312361. The reversal of 213111312320 is 23213111312.

It is a happy number.

213111312320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213111312292 and 213111312301.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 332986106 + ... + 332986745.

Almost surely, 2213111312320 is an apocalyptic number.

213111312320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213111312320 is an abundant number, since it is smaller than the sum of its proper divisors (294360000904).

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

213111312320 is an equidigital number, since it uses as much as digits as its factorization.

213111312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665972868 (or 665972858 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 213111312320 its reverse (23213111312), we get a palindrome (236324423632).

The spelling of 213111312320 in words is "two hundred thirteen billion, one hundred eleven million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 665972851 1331945702 2663891404 3329864255 5327782808 6659728510 10655565616 13319457020 21311131232 26638914040 42622262464 53277828080 106555656160 213111312320