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10221002203221 = 3231117937310627
BaseRepresentation
bin1001010010111100001100…
…1101001010000001010101
31100012010012012212101221100
42110233003031022001111
52314430103031000341
633423244045140313
72103304651153425
oct224570315120125
940163165771840
1010221002203221
113290780312367
121190a94b5a699
13591ab4681284
142749b0658485
1512ad120ec3b6
hex94bc334a055

10221002203221 has 24 divisors (see below), whose sum is σ = 15240095546624. Its totient is φ = 6594117828480.

The previous prime is 10221002203211. The next prime is 10221002203229. The reversal of 10221002203221 is 12230220012201.

10221002203221 is a `hidden beast` number, since 1 + 0 + 22 + 100 + 220 + 322 + 1 = 666.

It is not a de Polignac number, because 10221002203221 - 241 = 8021978947669 is a prime.

It is a super-3 number, since 3×102210022032213 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10221002203194 and 10221002203203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221002203229) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32749110 + ... + 33059736.

Almost surely, 210221002203221 is an apocalyptic number.

It is an amenable number.

10221002203221 is a deficient number, since it is larger than the sum of its proper divisors (5019093343403).

10221002203221 is a wasteful number, since it uses less digits than its factorization.

10221002203221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428601 (or 428598 counting only the distinct ones).

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

Adding to 10221002203221 its reverse (12230220012201), we get a palindrome (22451222215422).

The spelling of 10221002203221 in words is "ten trillion, two hundred twenty-one billion, two million, two hundred three thousand, two hundred twenty-one".

Divisors: 1 3 9 31 93 279 117937 310627 353811 931881 1061433 2795643 3656047 9629437 10968141 28888311 32904423 86664933 36634416499 109903249497 329709748491 1135666911469 3407000734407 10221002203221