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100022121230200 = 23521355769066511
BaseRepresentation
bin10110101111100000110111…
…000000010110111101111000
3111010011000120121022110022221
4112233200313000112331320
5101102230301013331300
6552421310025253424
730032234256404611
oct2657406700267570
9433130517273287
10100022121230200
1129963163954904
12b274b5a034274
1343a7079132a80
141a9b14cb0cc08
15b86c1189831a
hex5af837016f78

100022121230200 has 96 divisors (see below), whose sum is σ = 250889630160960. Its totient is φ = 36864940377600.

The previous prime is 100022121230191. The next prime is 100022121230281. The reversal of 100022121230200 is 2032121220001.

It is a happy number.

It is a super-2 number, since 2×1000221212302002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33085056 + ... + 35981455.

It is an arithmetic number, because the mean of its divisors is an integer number (2613433647510).

Almost surely, 2100022121230200 is an apocalyptic number.

100022121230200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022121230200 is an abundant number, since it is smaller than the sum of its proper divisors (150867508930760).

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

100022121230200 is a wasteful number, since it uses less digits than its factorization.

100022121230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69067097 (or 69067088 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100022121230200 its reverse (2032121220001), we get a palindrome (102054242450201).

The spelling of 100022121230200 in words is "one hundred trillion, twenty-two billion, one hundred twenty-one million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 557 650 1114 1300 2228 2600 2785 4456 5570 7241 11140 13925 14482 22280 27850 28964 36205 55700 57928 72410 111400 144820 181025 289640 362050 724100 1448200 69066511 138133022 276266044 345332555 552532088 690665110 897864643 1381330220 1726662775 1795729286 2762660440 3453325550 3591458572 4489323215 6906651100 7182917144 8978646430 13813302200 17957292860 22446616075 35914585720 38470046627 44893232150 76940093254 89786464300 153880186508 179572928600 192350233135 307760373016 384700466270 500110606151 769400932540 961751165675 1000221212302 1538801865080 1923502331350 2000442424604 2500553030755 3847004662700 4000884849208 5001106061510 7694009325400 10002212123020 12502765153775 20004424246040 25005530307550 50011060615100 100022121230200