Search a number
-
+
212021212001022 = 23285916519830099
BaseRepresentation
bin110000001101010100001001…
…000001101011001011111110
31000210201000210210211110110100
4300031110021001223023332
5210242223420233013042
62030533111122221530
762442012166344564
oct6015241101531376
91023630723743410
10212021212001022
116161376687a506
121b94316aab48a6
13913c68c490158
143a4dc4a85da34
15197a25933724c
hexc0d50906b2fe

212021212001022 has 48 divisors (see below), whose sum is σ = 459942472080000. Its totient is φ = 70587104517072.

The previous prime is 212021212001017. The next prime is 212021212001057. The reversal of 212021212001022 is 220100212120212.

It is a happy number.

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 = 212021212000986 and 212021212001004.

It is a congruent number.

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, 255001729 + ... + 255831827.

It is an arithmetic number, because the mean of its divisors is an integer number (9582134835000).

Almost surely, 2212021212001022 is an apocalyptic number.

212021212001022 is an abundant number, since it is smaller than the sum of its proper divisors (247921260078978).

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

212021212001022 is a wasteful number, since it uses less digits than its factorization.

212021212001022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847485 (or 847482 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212021212001022 its reverse (220100212120212), we get a palindrome (432121424121234).

The spelling of 212021212001022 in words is "two hundred twelve trillion, twenty-one billion, two hundred twelve million, one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 859 1718 2577 5154 7731 15462 16519 33038 49557 99114 148671 297342 830099 1660198 2490297 4980594 7470891 14189821 14941782 28379642 42569463 85138926 127708389 255416778 713055041 1426110082 2139165123 4278330246 6417495369 12834990738 13712405381 27424810762 41137216143 82274432286 123411648429 246823296858 11778956222279 23557912444558 35336868666837 70673737333674 106010606000511 212021212001022