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200200222100010 = 235115917335933351
BaseRepresentation
bin101101100001010010111111…
…000111110100101000101010
3222020211221202200211121000010
4231201102333013310220222
5202220040023324200020
61545442413511552350
760111663064142436
oct5541227707645052
9866757680747003
10200200222100010
115887648a191580
121a55418938b6b6
138792a52602582
143761a573db9c6
151822a01c85de0
hexb614bf1f4a2a

200200222100010 has 128 divisors (see below), whose sum is σ = 533352333957120. Its totient is φ = 47683248608000.

The previous prime is 200200222100009. The next prime is 200200222100023. The reversal of 200200222100010 is 10001222002002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30774835 + ... + 36708185.

It is an arithmetic number, because the mean of its divisors is an integer number (4166815109040).

Almost surely, 2200200222100010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200200222100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266676166978560).

200200222100010 is an abundant number, since it is smaller than the sum of its proper divisors (333152111857110).

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

200200222100010 is a wasteful number, since it uses less digits than its factorization.

200200222100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935164.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200200222100010 its reverse (10001222002002), we get a palindrome (210201444102012).

The spelling of 200200222100010 in words is "two hundred trillion, two hundred billion, two hundred twenty-two million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 165 177 295 330 354 590 649 885 1298 1733 1770 1947 3245 3466 3894 5199 6490 8665 9735 10398 17330 19063 19470 25995 38126 51990 57189 95315 102247 114378 190630 204494 285945 306741 511235 571890 613482 1022470 1124717 1533705 2249434 3067410 3374151 5623585 5933351 6748302 11247170 11866702 16870755 17800053 29666755 33741510 35600106 59333510 65266861 89000265 130533722 178000530 195800583 326334305 350067709 391601166 652668610 700135418 979002915 1050203127 1750338545 1958005830 2100406254 3500677090 3850744799 5251015635 7701489598 10282497283 10502031270 11552234397 19253723995 20564994566 23104468794 30847491849 38507447990 51412486415 57761171985 61694983698 102824972830 113107470113 115522343970 154237459245 226214940226 308474918490 339322410339 565537350565 606667339697 678644820678 1131074701130 1213334679394 1696612051695 1820002019091 3033336698485 3393224103390 3640004038182 6066673396970 6673340736667 9100010095455 13346681473334 18200020190910 20020022210001 33366703683335 40040044420002 66733407366670 100100111050005 200200222100010