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212133031020 = 223251178516839
BaseRepresentation
bin1100010110010000011…
…1010010110001101100
3202021112220201112002200
43011210013102301230
511433422023443040
6241241431021500
721216566004201
oct3054407226154
9667486645080
10212133031020
1181a68624a69
1235142b0a890
1317008bc0c81
14a3a564bca8
1557b8721630
hex31641d2c6c

212133031020 has 36 divisors (see below), whose sum is σ = 643470194640. Its totient is φ = 56568808224.

The previous prime is 212133031001. The next prime is 212133031027. The reversal of 212133031020 is 20130331212.

212133031020 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 330 + 310 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 212133030984 and 212133031002.

It is not an unprimeable number, because it can be changed into a prime (212133031027) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 589258240 + ... + 589258599.

Almost surely, 2212133031020 is an apocalyptic number.

212133031020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212133031020 is an abundant number, since it is smaller than the sum of its proper divisors (431337163620).

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

212133031020 is a wasteful number, since it uses less digits than its factorization.

212133031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178516854 (or 1178516849 counting only the distinct ones).

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

Adding to 212133031020 its reverse (20130331212), we get a palindrome (232263362232).

The spelling of 212133031020 in words is "two hundred twelve billion, one hundred thirty-three million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1178516839 2357033678 3535550517 4714067356 5892584195 7071101034 10606651551 11785168390 14142202068 17677752585 21213303102 23570336780 35355505170 42426606204 53033257755 70711010340 106066515510 212133031020