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212000421420 = 223352659147647
BaseRepresentation
bin1100010101110000110…
…1011011011000101100
3202021012200012020221000
43011130031123120230
511433134101441140
6241220332440300
721213365564244
oct3053415333054
9667180166830
10212000421420
11819aa790457
1235106619090
1316cb75a0758
14a391bacb24
1557abc79a30
hex315c35b62c

212000421420 has 96 divisors (see below), whose sum is σ = 659809382400. Its totient is φ = 56511801792.

The previous prime is 212000421419. The next prime is 212000421431. The reversal of 212000421420 is 24124000212.

212000421420 is a `hidden beast` number, since 2 + 1 + 200 + 0 + 42 + 1 + 420 = 666.

212000421420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 212000421393 and 212000421402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1362037 + ... + 1509683.

It is an arithmetic number, because the mean of its divisors is an integer number (6873014400).

Almost surely, 2212000421420 is an apocalyptic number.

212000421420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000421420 is an abundant number, since it is smaller than the sum of its proper divisors (447808960980).

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

212000421420 is a wasteful number, since it uses less digits than its factorization.

212000421420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150324 (or 150316 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212000421420 its reverse (24124000212), we get a palindrome (236124421632).

The spelling of 212000421420 in words is "two hundred twelve billion, four hundred twenty-one thousand, four hundred 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 2659 5318 7977 10636 13295 15954 23931 26590 31908 39885 47862 53180 71793 79770 95724 119655 143586 147647 159540 239310 287172 295294 358965 442941 478620 590588 717930 738235 885882 1328823 1435860 1476470 1771764 2214705 2657646 2952940 3986469 4429410 5315292 6644115 7972938 8858820 13288230 15945876 19932345 26576460 39864690 79729380 392593373 785186746 1177780119 1570373492 1962966865 2355560238 3533340357 3925933730 4711120476 5888900595 7066680714 7851867460 10600021071 11777801190 14133361428 17666701785 21200042142 23555602380 35333403570 42400084284 53000105355 70666807140 106000210710 212000421420