Search a number
-
+
2021122000212 = 2237105373228341
BaseRepresentation
bin11101011010010100010…
…000100100010101010100
321011012212110121122011020
4131122110100210111110
5231103224213001322
64144253550441140
7266010200354430
oct35322420442524
97135773548136
102021122000212
1170a175751207
122878598031b0
1311878b523653
146db73b9d9c0
15378924c805c
hex1d694424554

2021122000212 has 48 divisors (see below), whose sum is σ = 5389733419392. Its totient is φ = 577455419520.

The previous prime is 2021122000211. The next prime is 2021122000237. The reversal of 2021122000212 is 2120002211202.

It is a junction number, because it is equal to n+sod(n) for n = 2021122000191 and 2021122000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021122000211) 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 15 ways as a sum of consecutive naturals, for example, 8737162 + ... + 8965502.

It is an arithmetic number, because the mean of its divisors is an integer number (112286112904).

Almost surely, 22021122000212 is an apocalyptic number.

It is an amenable number.

2021122000212 is an abundant number, since it is smaller than the sum of its proper divisors (3368611419180).

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

2021122000212 is a wasteful number, since it uses less digits than its factorization.

2021122000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333728 (or 333726 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2021122000212 its reverse (2120002211202), we get a palindrome (4141124211414).

The spelling of 2021122000212 in words is "two trillion, twenty-one billion, one hundred twenty-two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 105373 210746 228341 316119 421492 456682 632238 685023 737611 913364 1264476 1370046 1475222 1598387 2212833 2740092 2950444 3196774 4425666 4795161 6393548 8851332 9590322 19180644 24060976193 48121952386 72182928579 96243904772 144365857158 168426833351 288731714316 336853666702 505280500053 673707333404 1010561000106 2021122000212