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1021014030222 = 2321959319972521
BaseRepresentation
bin11101101101110010010…
…11011011011110001110
310121121102020000202200200
432312321023123132032
5113212014042431342
62101014122034330
7133523452030164
oct16667113333616
93547366022620
101021014030222
1136401189091a
12145a676489a6
1375386a83754
14375bb28d234
151b85b53594c
hexedb92db78e

1021014030222 has 96 divisors (see below), whose sum is σ = 2334649093920. Its totient is φ = 321592965120.

The previous prime is 1021014030187. The next prime is 1021014030269. The reversal of 1021014030222 is 2220304101201.

It is a happy number.

1021014030222 is a `hidden beast` number, since 10 + 210 + 140 + 302 + 2 + 2 = 666.

It is a super-2 number, since 2×10210140302222 (a number of 25 digits) contains 22 as substring.

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 = 1021014030195 and 1021014030204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405002322 + ... + 405004842.

It is an arithmetic number, because the mean of its divisors is an integer number (24319261395).

Almost surely, 21021014030222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021014030222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167324546960).

1021014030222 is an abundant number, since it is smaller than the sum of its proper divisors (1313635063698).

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

1021014030222 is a wasteful number, since it uses less digits than its factorization.

1021014030222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1021014030222 its reverse (2220304101201), we get a palindrome (3241318131423).

The spelling of 1021014030222 in words is "one trillion, twenty-one billion, fourteen million, thirty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 593 1186 1779 1997 2521 3558 3994 5042 5337 5991 7563 10674 11267 11982 15126 17973 22534 22689 33801 35946 37943 45378 47899 67602 75886 95798 101403 113829 143697 202806 227658 287394 341487 431091 682974 862182 1184221 1494953 2368442 2989906 3552663 4484859 5034437 7105326 8969718 10068874 10657989 13454577 15103311 21315978 22500199 26909154 28404107 30206622 45000398 45309933 56808214 67500597 85212321 90619866 95654303 135001194 170424642 191308606 202501791 255636963 286962909 405003582 511273926 573925818 860888727 1721777454 2985421141 5970842282 8956263423 17912526846 26868790269 53737580538 56723001679 113446003358 170169005037 340338010074 510507015111 1021014030222