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213201310 = 25743193367
BaseRepresentation
bin11001011010100…
…11000110011110
3112212011202012211
430231103012132
5414034420220
633053351034
75166116110
oct1455230636
9485152184
10213201310
11aa38a333
125b49847a
133522a02a
142045b3b0
1513ab5b5a
hexcb5319e

213201310 has 64 divisors (see below), whose sum is σ = 452339712. Its totient is φ = 70834176.

The previous prime is 213201293. The next prime is 213201341. The reversal of 213201310 is 13102312.

It is a super-2 number, since 2×2132013102 = 90909597171432200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580747 + ... + 581113.

It is an arithmetic number, because the mean of its divisors is an integer number (7067808).

Almost surely, 2213201310 is an apocalyptic number.

213201310 is an abundant number, since it is smaller than the sum of its proper divisors (239138402).

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

213201310 is a wasteful number, since it uses less digits than its factorization.

213201310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 213201310 is about 14601.4146574912. The cubic root of 213201310 is about 597.3973470235.

Adding to 213201310 its reverse (13102312), we get a palindrome (226303622).

The spelling of 213201310 in words is "two hundred thirteen million, two hundred one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 43 70 86 193 215 301 367 386 430 602 734 965 1351 1505 1835 1930 2569 2702 3010 3670 5138 6755 8299 12845 13510 15781 16598 25690 31562 41495 58093 70831 78905 82990 110467 116186 141662 157810 220934 290465 354155 495817 552335 580930 708310 991634 1104670 2479085 3045733 4958170 6091466 15228665 21320131 30457330 42640262 106600655 213201310