Search a number
-
+
21012011122212 = 22331169809253361
BaseRepresentation
bin1001100011100001111010…
…11101010111111000100100
32202101201200011221011022000
410301300331131113320210
510223230044321402322
6112404441252405300
74266032136436635
oct461607535277044
982351604834260
1021012011122212
116771164550910
122434328016830
13b95568b09686
14528db597988c
15266885d183ac
hex131c3d757e24

21012011122212 has 96 divisors (see below), whose sum is σ = 59428996099200. Its totient is φ = 6367159756800.

The previous prime is 21012011122189. The next prime is 21012011122229. The reversal of 21012011122212 is 21222111021012.

21012011122212 is a `hidden beast` number, since 210 + 120 + 1 + 1 + 122 + 212 = 666.

It is a super-2 number, since 2×210120111222122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82806412 + ... + 83059772.

It is an arithmetic number, because the mean of its divisors is an integer number (619052042700).

Almost surely, 221012011122212 is an apocalyptic number.

21012011122212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21012011122212 is an abundant number, since it is smaller than the sum of its proper divisors (38416984976988).

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

21012011122212 is a wasteful number, since it uses less digits than its factorization.

21012011122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323194 (or 323186 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21012011122212 its reverse (21222111021012), we get a palindrome (42234122143224).

The spelling of 21012011122212 in words is "twenty-one trillion, twelve billion, eleven million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 69809 139618 209427 253361 279236 418854 506722 628281 760083 767899 837708 1013444 1256562 1520166 1535798 1884843 2280249 2303697 2513124 2786971 3040332 3071596 3769686 4560498 4607394 5573942 6840747 6911091 7539372 8360913 9120996 9214788 11147884 13681494 13822182 16721826 20733273 25082739 27362988 27644364 33443652 41466546 50165478 75248217 82933092 100330956 150496434 300992868 17686878049 35373756098 53060634147 70747512196 106121268294 159181902441 194555658539 212242536588 318363804882 389111317078 477545707323 583666975617 636727609764 778222634156 955091414646 1167333951234 1751000926851 1910182829292 2334667902468 3502001853702 5253002780553 7004003707404 10506005561106 21012011122212