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1021012222194 = 2321747587120941
BaseRepresentation
bin11101101101110010001…
…00100010000011110010
310121121102002121220112200
432312321010202003302
5113212013112102234
62101014015204030
7133523430460026
oct16667104420362
93547362556480
101021012222194
11364010866488
12145a66b16616
137538659c803
14375bad3c386
151b85b2c9d99
hexedb91220f2

1021012222194 has 96 divisors (see below), whose sum is σ = 2396253839616. Its totient is φ = 312965629440.

The previous prime is 1021012222193. The next prime is 1021012222271. The reversal of 1021012222194 is 4912222101201.

1021012222194 is a `hidden beast` number, since 10 + 210 + 1 + 222 + 219 + 4 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1021012222193) 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 47 ways as a sum of consecutive naturals, for example, 8381764 + ... + 8502704.

It is an arithmetic number, because the mean of its divisors is an integer number (24960977496).

Almost surely, 21021012222194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021012222194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198126919808).

1021012222194 is an abundant number, since it is smaller than the sum of its proper divisors (1375241617422).

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

1021012222194 is a wasteful number, since it uses less digits than its factorization.

1021012222194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121600 (or 121597 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 1021012222194 its reverse (4912222101201), we get a palindrome (5933234323395).

The spelling of 1021012222194 in words is "one trillion, twenty-one billion, twelve million, two hundred twenty-two thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 34 47 51 94 102 141 153 282 306 423 587 799 846 1174 1598 1761 2397 3522 4794 5283 7191 9979 10566 14382 19958 27589 29937 55178 59874 82767 89811 120941 165534 179622 241882 248301 362823 469013 496602 725646 938026 1088469 1407039 2055997 2176938 2814078 4111994 4221117 5684227 6167991 8442234 11368454 12335982 17052681 18503973 34105362 37007946 51158043 70992367 96631859 102316086 141984734 193263718 212977101 289895577 425954202 579791154 638931303 869686731 1206870239 1277862606 1739373462 2413740478 3336641249 3620610717 6673282498 7241221434 10009923747 10861832151 20019847494 21723664302 30029771241 56722901233 60059542482 113445802466 170168703699 340337407398 510506111097 1021012222194