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10221122120022 = 23211232515389231
BaseRepresentation
bin1001010010111100101001…
…0110100110100101010110
31100012010111120111210212100
42110233022112212211112
52314430324230320042
633423304011302530
72103310635350202
oct224571226464526
940163446453770
1010221122120022
113290831a77660
121190b0914aa46
13591b03479368
142749c2551b02
1512ad1c8d824c
hex94bca5a6956

10221122120022 has 96 divisors (see below), whose sum is σ = 25210692688896. Its totient is φ = 2962493107200.

The previous prime is 10221122119997. The next prime is 10221122120051. The reversal of 10221122120022 is 22002122112201.

It is a happy number.

10221122120022 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 221 + 200 + 22 = 666.

10221122120022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10221122119977 and 10221122120004.

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, 114502147 + ... + 114591377.

It is an arithmetic number, because the mean of its divisors is an integer number (262611382176).

Almost surely, 210221122120022 is an apocalyptic number.

10221122120022 is an abundant number, since it is smaller than the sum of its proper divisors (14989570568874).

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

10221122120022 is a wasteful number, since it uses less digits than its factorization.

10221122120022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114426 (or 114423 counting only the distinct ones).

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

Adding to 10221122120022 its reverse (22002122112201), we get a palindrome (32223244232223).

The spelling of 10221122120022 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 25153 50306 75459 89231 150918 178462 226377 267693 276683 452754 535386 553366 578519 803079 830049 981541 1157038 1606158 1660098 1735557 1963082 2052313 2490147 2944623 3471114 4104626 4980294 5206671 5889246 6156939 6363709 8833869 10413342 12313878 12727418 17667738 18470817 19091127 22575443 36941634 38182254 45150886 57273381 67726329 114546762 135452658 203178987 406357974 2244427343 4488854686 6733282029 13466564058 20199846087 24688700773 40399692174 49377401546 51621828889 74066102319 103243657778 148132204638 154865486667 222198306957 309730973334 444396613914 464596460001 567840117779 929192920002 1135680235558 1703520353337 3407040706674 5110561060011 10221122120022