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213212232030320 = 24529210131376519
BaseRepresentation
bin110000011110101001010111…
…010110100001100001110000
31000221220220001001010210110022
4300132221113112201201300
5210421232122344432240
62033244202555023012
762624034604510205
oct6036512726414160
91027826031123408
10213212232030320
1161a32888605706
121bab5b6113aa68
1391c7a9a4bb413
143a917544a7cac
15199b2159a09b5
hexc1ea575a1870

213212232030320 has 120 divisors (see below), whose sum is σ = 518484818910240. Its totient is φ = 81528744371200.

The previous prime is 213212232030283. The next prime is 213212232030337. The reversal of 213212232030320 is 23030232212312.

It is a self number, because there is not a number n which added to its sum of digits gives 213212232030320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8892980 + ... + 22483539.

It is an arithmetic number, because the mean of its divisors is an integer number (4320706824252).

Almost surely, 2213212232030320 is an apocalyptic number.

213212232030320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213212232030320 is an abundant number, since it is smaller than the sum of its proper divisors (305272586879920).

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

213212232030320 is a wasteful number, since it uses less digits than its factorization.

213212232030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31376691 (or 31376656 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 213212232030320 its reverse (23030232212312), we get a palindrome (236242464242632).

The spelling of 213212232030320 in words is "two hundred thirteen trillion, two hundred twelve billion, two hundred thirty-two million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 101 116 145 202 232 290 404 464 505 580 808 841 1010 1160 1616 1682 2020 2320 2929 3364 4040 4205 5858 6728 8080 8410 11716 13456 14645 16820 23432 29290 33640 46864 58580 67280 84941 117160 169882 234320 339764 424705 679528 849410 1359056 1698820 3397640 6795280 31376519 62753038 125506076 156882595 251012152 313765190 502024304 627530380 909919051 1255060760 1819838102 2510121520 3169028419 3639676204 4549595255 6338056838 7279352408 9099190510 12676113676 14558704816 15845142095 18198381020 25352227352 26387652479 31690284190 36396762040 50704454704 52775304958 63380568380 72793524080 91901824151 105550609916 126761136760 131938262395 183803648302 211101219832 253522273520 263876524790 367607296604 422202439664 459509120755 527753049580 735214593208 919018241510 1055506099160 1470429186416 1838036483020 2111012198320 2665152900379 3676072966040 5330305800758 7352145932080 10660611601516 13325764501895 21321223203032 26651529003790 42642446406064 53303058007580 106606116015160 213212232030320