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210201200110122 = 2313171132336020843
BaseRepresentation
bin101111110010110101000111…
…110111010010101000101010
31000120021001001001100220111020
4233302311013313102220222
5210022414024212010442
62023021033115113310
762163351456463344
oct5762650767225052
91016231031326436
10210201200110122
1160a8191258a011
121b6aa498742836
139039b71268bb0
1439c9b14392294
151947c379b49ec
hexbf2d47dd2a2a

210201200110122 has 128 divisors (see below), whose sum is σ = 485690792461056. Its totient is φ = 60075094474752.

The previous prime is 210201200110103. The next prime is 210201200110129. The reversal of 210201200110122 is 221011002102012.

It is not an unprimeable number, because it can be changed into a prime (210201200110129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31901833 + ... + 37922675.

It is an arithmetic number, because the mean of its divisors is an integer number (3794459316102).

Almost surely, 2210201200110122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210201200110122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242845396230528).

210201200110122 is an abundant number, since it is smaller than the sum of its proper divisors (275489592350934).

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

210201200110122 is a wasteful number, since it uses less digits than its factorization.

210201200110122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6021224.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210201200110122 its reverse (221011002102012), we get a palindrome (431212202212134).

The spelling of 210201200110122 in words is "two hundred ten trillion, two hundred one billion, two hundred million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 113 221 226 233 339 442 466 663 678 699 1326 1398 1469 1921 2938 3029 3842 3961 4407 5763 6058 7922 8814 9087 11526 11883 18174 23766 24973 26329 49946 51493 52658 74919 78987 102986 149838 154479 157974 308958 342277 447593 684554 895186 1026831 1342779 2053662 2685558 5818709 6020843 11637418 12041686 17456127 18062529 34912254 36125058 78270959 102354331 156541918 204708662 234812877 307062993 469625754 614125986 680355259 1330606303 1360710518 1402856419 2041065777 2661212606 2805712838 3991818909 4082131554 4208569257 7983637818 8417138514 8844618367 11566039403 17689236734 18237133447 23132078806 23848559123 26533855101 34698118209 36474266894 47697118246 53067710202 54711400341 69396236418 71545677369 109422800682 143091354738 150358512239 158522775347 300717024478 310031268599 317045550694 451075536717 475568326041 620062537198 902151073434 930093805797 951136652082 1860187611594 2060796079511 2694887180899 4121592159022 5389774361798 6182388238533 8084661542697 12364776477066 16169323085394 35033533351687 70067066703374 105100600055061 210201200110122