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200110200202120 = 235136312939207509
BaseRepresentation
bin101101011111111111001001…
…011001100010001110001000
3222020112100101220202100121211
4231133333021121202032020
5202212101142222431440
61545333205030142504
760102325210503565
oct5537771131421610
9866470356670554
10200110200202120
115884129417425a
121a53a8451b1a34
1387874070b4080
14375b55763d86c
1518204d3a30eea
hexb5ffc9662388

200110200202120 has 128 divisors (see below), whose sum is σ = 485818427808000. Its totient is φ = 73744292643840.

The previous prime is 200110200202079. The next prime is 200110200202153. The reversal of 200110200202120 is 21202002011002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 200110200202120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 964240926 + ... + 964448434.

It is an arithmetic number, because the mean of its divisors is an integer number (3795456467250).

Almost surely, 2200110200202120 is an apocalyptic number.

200110200202120 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 200110200202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242909213904000).

200110200202120 is an abundant number, since it is smaller than the sum of its proper divisors (285708227605880).

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

200110200202120 is a wasteful number, since it uses less digits than its factorization.

200110200202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211103 (or 211099 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200110200202120 its reverse (21202002011002), we get a palindrome (221312202213122).

The spelling of 200110200202120 in words is "two hundred trillion, one hundred ten billion, two hundred million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 631 1262 2524 2939 3155 5048 5878 6310 8203 11756 12620 14695 16406 23512 25240 29390 32812 38207 41015 58780 65624 76414 82030 117560 152828 164060 191035 207509 305656 328120 382070 415018 764140 830036 1037545 1528280 1660072 1854509 2075090 2697617 3709018 4150180 5395234 7418036 8300360 9272545 10790468 13488085 14836072 18545090 21580936 24108617 26976170 37090180 48217234 53952340 74180360 96434468 107904680 120543085 130938179 192868936 241086170 261876358 482172340 523752716 609868951 654690895 964344680 1047505432 1219737902 1309381790 1702196327 2439475804 2618763580 3049344755 3404392654 4878951608 5237527160 6098689510 6808785308 7928296363 8510981635 12197379020 13617570616 15856592726 17021963270 24394758040 31713185452 34043926540 39641481815 63426370904 68087853080 79282963630 158565927260 317131854520 384827308081 769654616162 1539309232324 1924136540405 3078618464648 3848273080810 5002755005053 7696546161620 10005510010106 15393092323240 20011020020212 25013775025265 40022040040424 50027550050530 100055100101060 200110200202120