Search a number
-
+
213032121220 = 2252314919116273
BaseRepresentation
bin1100011001100110110…
…1000011001110000100
3202100212120112000222201
43012121231003032010
511442242210334340
6241510545404244
721251064103342
oct3063155031604
9670776460881
10213032121220
118238a095816
1235354039684
13171202594c9
14a44cc0c992
15581c61d79a
hex3199b43384

213032121220 has 96 divisors (see below), whose sum is σ = 472440729600. Its totient is φ = 80532080640.

The previous prime is 213032121217. The next prime is 213032121251. The reversal of 213032121220 is 22121230312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13083004 + ... + 13099276.

It is an arithmetic number, because the mean of its divisors is an integer number (4921257600).

Almost surely, 2213032121220 is an apocalyptic number.

213032121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213032121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236220364800).

213032121220 is an abundant number, since it is smaller than the sum of its proper divisors (259408608380).

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

213032121220 is a wasteful number, since it uses less digits than its factorization.

213032121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16645 (or 16643 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213032121220 its reverse (22121230312), we get a palindrome (235153351532).

The spelling of 213032121220 in words is "two hundred thirteen billion, thirty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 149 191 230 298 382 460 596 745 764 955 1490 1910 2980 3427 3820 4393 6854 8786 13708 16273 17135 17572 21965 28459 32546 34270 43930 56918 65092 68540 81365 87860 113836 142295 162730 284590 325460 374279 569180 654557 748558 1309114 1497116 1871395 2424677 2618228 3108143 3272785 3742790 4849354 6216286 6545570 7485580 9698708 12123385 12432572 13091140 15540715 24246770 31081430 48493540 55767571 62162860 71487289 111535142 142974578 223070284 278837855 285949156 357436445 463113307 557675710 714872890 926226614 1115351420 1429745780 1852453228 2315566535 4631133070 9262266140 10651606061 21303212122 42606424244 53258030305 106516060610 213032121220