Search a number
-
+
11021022110200 = 2352532414314187
BaseRepresentation
bin1010000001100000100000…
…0110111010000111111000
31110000121011222110112011111
42200120020012322013320
52421032023130011300
635234553200210104
72215146126156334
oct240301006720770
943017158415144
1011021022110200
113569a97733503
12129bb46009934
1361c37c7aa90b
142a15c54c27c4
15141a370229ba
hexa06081ba1f8

11021022110200 has 96 divisors (see below), whose sum is σ = 26215681084560. Its totient is φ = 4307283302400.

The previous prime is 11021022110129. The next prime is 11021022110209. The reversal of 11021022110200 is 201122012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021022110209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397507 + ... + 4711693.

Almost surely, 211021022110200 is an apocalyptic number.

11021022110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021022110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107840542280).

11021022110200 is an abundant number, since it is smaller than the sum of its proper divisors (15194658974360).

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

11021022110200 is a wasteful number, since it uses less digits than its factorization.

11021022110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314497 (or 4314488 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11021022110200 its reverse (201122012011), we get a palindrome (11222144122211).

The spelling of 11021022110200 in words is "eleven trillion, twenty-one billion, twenty-two million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 241 265 424 482 530 964 1060 1205 1325 1928 2120 2410 2650 4820 5300 6025 9640 10600 12050 12773 24100 25546 48200 51092 63865 102184 127730 255460 319325 510920 638650 1277300 2554600 4314187 8628374 17256748 21570935 34513496 43141870 86283740 107854675 172567480 215709350 228651911 431418700 457303822 862837400 914607644 1039719067 1143259555 1829215288 2079438134 2286519110 4158876268 4573038220 5198595335 5716297775 8317752536 9146076440 10397190670 11432595550 20794381340 22865191100 25992976675 41588762680 45730382200 51985953350 55105110551 103971906700 110210221102 207943813400 220420442204 275525552755 440840884408 551051105510 1102102211020 1377627763775 2204204422040 2755255527550 5510511055100 11021022110200