Search a number
-
+
212331030120 = 233251153618947
BaseRepresentation
bin1100010110111111101…
…0100110011001101000
3202022001201021220210200
43011233322212121220
511434323220430440
6241313222512200
721224521656066
oct3055772463150
9668051256720
10212331030120
118205a370690
1235199295660
131703ac275c1
14a3c3a6d036
1557cacd2c30
hex316fea6668

212331030120 has 96 divisors (see below), whose sum is σ = 752810029920. Its totient is φ = 51474188160.

The previous prime is 212331030113. The next prime is 212331030181. The reversal of 212331030120 is 21030133212.

212331030120 is a `hidden beast` number, since 2 + 12 + 331 + 0 + 301 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212331030093 and 212331030102.

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, 26805514 + ... + 26813433.

It is an arithmetic number, because the mean of its divisors is an integer number (7841771145).

Almost surely, 2212331030120 is an apocalyptic number.

212331030120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212331030120 is an abundant number, since it is smaller than the sum of its proper divisors (540478999800).

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

212331030120 is a wasteful number, since it uses less digits than its factorization.

212331030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53618975 (or 53618968 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212331030120 its reverse (21030133212), we get a palindrome (233361163332).

The spelling of 212331030120 in words is "two hundred twelve billion, three hundred thirty-one million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 53618947 107237894 160856841 214475788 268094735 321713682 428951576 482570523 536189470 589808417 643427364 804284205 965141046 1072378940 1179616834 1286854728 1608568410 1769425251 1930282092 2144757880 2359233668 2412852615 2949042085 3217136820 3538850502 3860564184 4718467336 4825705230 5308275753 5898084170 6434273640 7077701004 8847126255 9651410460 10616551506 11796168340 14155402008 17694252510 19302820920 21233103012 23592336680 26541378765 35388505020 42466206024 53082757530 70777010040 106165515060 212331030120