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101022000000200 = 235214271693720899
BaseRepresentation
bin10110111110000100000100…
…011011001010110011001000
3111020200121102212121202111222
4112332010010123022303020
5101220121024000001300
6554504511025341212
730164412222620456
oct2676040433126310
9436617385552458
10101022000000200
112a20920a3a8914
12b3b68a7497808
13444a445263886
141ad36c2dd99d6
15ba2c32664785
hex5be1046cacc8

101022000000200 has 96 divisors (see below), whose sum is σ = 235065868884000. Its totient is φ = 40376166474240.

The previous prime is 101022000000139. The next prime is 101022000000203. The reversal of 101022000000200 is 2000000220101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (101022000000203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4833809351 + ... + 4833830249.

It is an arithmetic number, because the mean of its divisors is an integer number (2448602800875).

Almost surely, 2101022000000200 is an apocalyptic number.

101022000000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022000000200 is an abundant number, since it is smaller than the sum of its proper divisors (134043868883800).

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

101022000000200 is a wasteful number, since it uses less digits than its factorization.

101022000000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39279 (or 39270 counting only the distinct ones).

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

Adding to 101022000000200 its reverse (2000000220101), we get a palindrome (103022000220301).

The spelling of 101022000000200 in words is "one hundred one trillion, twenty-two billion, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1427 2854 5708 7135 11416 14270 16937 20899 28540 33874 35675 41798 57080 67748 71350 83596 84685 104495 135496 142700 167192 169370 208990 285400 338740 417980 423425 522475 677480 835960 846850 1044950 1693700 2089900 3387400 4179800 24169099 29822873 48338198 59645746 96676396 119291492 120845495 149114365 193352792 238582984 241690990 298228730 353966363 483381980 596457460 604227475 707932726 745571825 966763960 1192914920 1208454950 1415865452 1491143650 1769831815 2416909900 2831730904 2982287300 3539663630 4833819800 5964574600 7079327260 8849159075 14158654520 17698318150 35396636300 70793272600 505110000001 1010220000002 2020440000004 2525550000005 4040880000008 5051100000010 10102200000020 12627750000025 20204400000040 25255500000050 50511000000100 101022000000200