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10221012012222 = 2321189580014301
BaseRepresentation
bin1001010010111100001111…
…0010100100110010111110
31100012010012220022202100200
42110233003302210302332
52314430113033342342
633423245035304330
72103305130426204
oct224570362446276
940163186282320
1010221012012222
113290785901a80
121190a982ab0a6
13591ab6706c0b
142749b1a8d074
1512ad12dd894c
hex94bc3ca4cbe

10221012012222 has 48 divisors (see below), whose sum is σ = 24430202400240. Its totient is φ = 3062475504000.

The previous prime is 10221012012203. The next prime is 10221012012229. The reversal of 10221012012222 is 22221021012201.

It is a happy number.

10221012012222 is a `hidden beast` number, since 102 + 210 + 120 + 12 + 222 = 666.

It is a super-3 number, since 3×102210120122223 (a number of 40 digits) contains 333 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 = 10221012012195 and 10221012012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221012012229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289989529 + ... + 290024772.

It is an arithmetic number, because the mean of its divisors is an integer number (508962550005).

Almost surely, 210221012012222 is an apocalyptic number.

10221012012222 is an abundant number, since it is smaller than the sum of its proper divisors (14209190388018).

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

10221012012222 is a wasteful number, since it uses less digits than its factorization.

10221012012222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580014409 (or 580014406 counting only the distinct ones).

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

Adding to 10221012012222 its reverse (22221021012201), we get a palindrome (32442033024423).

The spelling of 10221012012222 in words is "ten trillion, two hundred twenty-one billion, twelve million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 178 198 267 534 801 979 1602 1958 2937 5874 8811 17622 580014301 1160028602 1740042903 3480085806 5220128709 6380157311 10440257418 12760314622 19140471933 38280943866 51621272789 57421415799 103242545578 114842831598 154863818367 309727636734 464591455101 567834000679 929182910202 1135668001358 1703502002037 3407004004074 5110506006111 10221012012222