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213021320 = 2355325533
BaseRepresentation
bin11001011001001…
…11001010001000
3112211211121022112
430230213022020
5414013140240
633045441452
75164436261
oct1454471210
9484747275
10213021320
11aa277086
125b410288
1335196125
1420411968
1513a7c665
hexcb27288

213021320 has 16 divisors (see below), whose sum is σ = 479298060. Its totient is φ = 85208512.

The previous prime is 213021317. The next prime is 213021337. The reversal of 213021320 is 23120312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 211586116 + 1435204 = 14546^2 + 1198^2 .

It is a super-3 number, since 3×2130213203 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213021295 and 213021304.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2662727 + ... + 2662806.

Almost surely, 2213021320 is an apocalyptic number.

213021320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213021320 is an abundant number, since it is smaller than the sum of its proper divisors (266276740).

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

213021320 is a wasteful number, since it uses less digits than its factorization.

213021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5325544 (or 5325540 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 213021320 is about 14595.2499122146. The cubic root of 213021320 is about 597.2291869853.

Adding to 213021320 its reverse (23120312), we get a palindrome (236141632).

It can be divided in two parts, 21302 and 1320, that added together give a palindrome (22622).

The spelling of 213021320 in words is "two hundred thirteen million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5325533 10651066 21302132 26627665 42604264 53255330 106510660 213021320