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200212002001110 = 235113135413582899
BaseRepresentation
bin101101100001011101111101…
…010000100101000011010110
3222020220002011122210120102110
4231201131331100211003112
5202220233140003013420
61545452042440051450
760112561023511431
oct5541357520450326
9866802148716373
10200212002001110
1158880484682630
121a556516463b86
138793babc93658
143762453ac4818
151822e9102bee0
hexb6177d4250d6

200212002001110 has 128 divisors (see below), whose sum is σ = 526838329612800. Its totient is φ = 48291732403200.

The previous prime is 200212002001061. The next prime is 200212002001153. The reversal of 200212002001110 is 11100200212002.

200212002001110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

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, 54088441 + ... + 57671339.

It is an arithmetic number, because the mean of its divisors is an integer number (4115924450100).

Almost surely, 2200212002001110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200212002001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263419164806400).

200212002001110 is an abundant number, since it is smaller than the sum of its proper divisors (326626327611690).

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

200212002001110 is a wasteful number, since it uses less digits than its factorization.

200212002001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583774.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200212002001110 its reverse (11100200212002), we get a palindrome (211312202213112).

The spelling of 200212002001110 in words is "two hundred trillion, two hundred twelve billion, two million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 313 330 541 626 939 1082 1565 1623 1878 2705 3130 3246 3443 4695 5410 5951 6886 8115 9390 10329 11902 16230 17215 17853 20658 29755 34430 35706 51645 59510 89265 103290 169333 178530 338666 507999 846665 1015998 1693330 1862663 2539995 3582899 3725326 5079990 5587989 7165798 9313315 10748697 11175978 17914495 18626630 21497394 27939945 35828990 39411889 53743485 55879890 78823778 107486970 118235667 197059445 236471334 394118890 591178335 1121447387 1182356670 1938348359 2242894774 3364342161 3876696718 5607236935 5815045077 6728684322 9691741795 11214473870 11630090154 12335921257 16821710805 19383483590 21321831949 24671842514 29075225385 33643421610 37007763771 42643663898 58150450770 61679606285 63965495847 74015527542 106609159745 123359212570 127930991694 185038818855 213218319490 319827479235 370077637710 606703036367 639654958470 1213406072734 1820109109101 3033515181835 3640218218202 6067030363670 6673733400037 9100545545505 13347466800074 18201091091010 20021200200111 33368667000185 40042400400222 66737334000370 100106001000555 200212002001110