Search a number
-
+
1022111000200 = 2352192231206173
BaseRepresentation
bin11101101111110101001…
…00000010011010001000
310121201020200011121121101
432313322210002122020
5113221240404001300
62101315025551144
7133562602103323
oct16677244023210
93551220147541
101022111000200
11364525016684
12146112aa54b4
1375500113204
1437682c3d7ba
151b8c29bdb6a
hexedfa902688

1022111000200 has 96 divisors (see below), whose sum is σ = 2512701676800. Its totient is φ = 385589064960.

The previous prime is 1022111000191. The next prime is 1022111000201. The reversal of 1022111000200 is 20001112201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1022111000201) 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 23 ways as a sum of consecutive naturals, for example, 244314 + ... + 1450486.

It is an arithmetic number, because the mean of its divisors is an integer number (26173975800).

Almost surely, 21022111000200 is an apocalyptic number.

1022111000200 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 1022111000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256350838400).

1022111000200 is an abundant number, since it is smaller than the sum of its proper divisors (1490590676600).

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

1022111000200 is a wasteful number, since it uses less digits than its factorization.

1022111000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206431 (or 1206422 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1022111000200 its reverse (20001112201), we get a palindrome (1042112112401).

The spelling of 1022111000200 in words is "one trillion, twenty-two billion, one hundred eleven million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 223 380 446 475 760 892 950 1115 1784 1900 2230 3800 4237 4460 5575 8474 8920 11150 16948 21185 22300 33896 42370 44600 84740 105925 169480 211850 423700 847400 1206173 2412346 4824692 6030865 9649384 12061730 22917287 24123460 30154325 45834574 48246920 60308650 91669148 114586435 120617300 183338296 229172870 241234600 268976579 458345740 537953158 572932175 916691480 1075906316 1145864350 1344882895 2151812632 2291728700 2689765790 4583457400 5110555001 5379531580 6724414475 10221110002 10759063160 13448828950 20442220004 25552775005 26897657900 40884440008 51105550010 53795315800 102211100020 127763875025 204422200040 255527750050 511055500100 1022111000200