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212133310020 = 22335392839463
BaseRepresentation
bin1100010110010000100…
…0010110111001000100
3202021112221020200211000
43011210020112321010
511433422111410040
6241241441013300
721216601245462
oct3054410267104
9667487220730
10212133310020
1181a687a5645
1235143024230
1317008c8ac68
14a3a56c1832
1557b8779130
hex3164216e44

212133310020 has 48 divisors (see below), whose sum is σ = 659970299520. Its totient is φ = 56568882528.

The previous prime is 212133310009. The next prime is 212133310027. The reversal of 212133310020 is 20013331212.

212133310020 is a `hidden beast` number, since 212 + 1 + 333 + 100 + 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 = 212133309975 and 212133310002.

It is not an unprimeable number, because it can be changed into a prime (212133310027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196419192 + ... + 196420271.

It is an arithmetic number, because the mean of its divisors is an integer number (13749381240).

Almost surely, 2212133310020 is an apocalyptic number.

212133310020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212133310020 is an abundant number, since it is smaller than the sum of its proper divisors (447836989500).

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

212133310020 is a wasteful number, since it uses less digits than its factorization.

212133310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392839481 (or 392839473 counting only the distinct ones).

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

Adding to 212133310020 its reverse (20013331212), we get a palindrome (232146641232).

The spelling of 212133310020 in words is "two hundred twelve billion, one hundred thirty-three million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 392839463 785678926 1178518389 1571357852 1964197315 2357036778 3535555167 3928394630 4714073556 5892591945 7071110334 7856789260 10606665501 11785183890 14142220668 17677775835 21213331002 23570367780 35355551670 42426662004 53033327505 70711103340 106066655010 212133310020