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200120102022200 = 23526121437654357
BaseRepresentation
bin101101100000001000010111…
…100101111110110000111000
3222020120021221222202221012212
4231200020113211332300320
5202212231432104202300
61545341523344354252
760103125453543653
oct5540102745766070
9866507858687185
10200120102022200
1158845505520238
121a540749315988
1387883246472c9
14375bc1672689a
1518208b2e98935
hexb6021797ec38

200120102022200 has 96 divisors (see below), whose sum is σ = 473127502604160. Its totient is φ = 78699026649600.

The previous prime is 200120102022173. The next prime is 200120102022229. The reversal of 200120102022200 is 2220201021002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22317422 + ... + 29971778.

It is an arithmetic number, because the mean of its divisors is an integer number (4928411485460).

Almost surely, 2200120102022200 is an apocalyptic number.

200120102022200 is a gapful number since it is divisible by the number (20) 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 200120102022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236563751302080).

200120102022200 is an abundant number, since it is smaller than the sum of its proper divisors (273007400581960).

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

200120102022200 is a wasteful number, since it uses less digits than its factorization.

200120102022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7656577 (or 7656568 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200120102022200 its reverse (2220201021002), we get a palindrome (202340303043202).

The spelling of 200120102022200 in words is "two hundred trillion, one hundred twenty billion, one hundred two million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2143 2440 3050 4286 6100 8572 10715 12200 17144 21430 42860 53575 85720 107150 130723 214300 261446 428600 522892 653615 1045784 1307230 2614460 3268075 5228920 6536150 7654357 13072300 15308714 26144600 30617428 38271785 61234856 76543570 153087140 191358925 306174280 382717850 466915777 765435700 933831554 1530871400 1867663108 2334578885 3735326216 4669157770 9338315540 11672894425 16403287051 18676631080 23345788850 32806574102 46691577700 65613148204 82016435255 93383155400 131226296408 164032870510 328065741020 410082176275 656131482040 820164352550 1000600510111 1640328705100 2001201020222 3280657410200 4002402040444 5003002550555 8004804080888 10006005101110 20012010202220 25015012752775 40024020404440 50030025505550 100060051011100 200120102022200