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212010222010110 = 235231559732126921
BaseRepresentation
bin110000001101001001111001…
…111110001011111011111110
31000210122222102220020002002220
4300031021321332023323332
5210242033413313310420
62030524052412430210
762441142641100006
oct6015117176137376
91023588386202086
10212010222010110
116160a037258697
121b941002478366
13913b62a65b554
143a4d4c7037006
151979d145c3840
hexc0d279f8befe

212010222010110 has 128 divisors (see below), whose sum is σ = 531380215941120. Its totient is φ = 54033892915200.

The previous prime is 212010222010021. The next prime is 212010222010123. The reversal of 212010222010110 is 11010222010212.

It is a super-2 number, since 2×2120102220101102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212010222010110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7875259450 + ... + 7875286370.

It is an arithmetic number, because the mean of its divisors is an integer number (4151407937040).

Almost surely, 2212010222010110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212010222010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265690107970560).

212010222010110 is an abundant number, since it is smaller than the sum of its proper divisors (319369993931010).

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

212010222010110 is a wasteful number, since it uses less digits than its factorization.

212010222010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35834.

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

Adding to 212010222010110 its reverse (11010222010212), we get a palindrome (223020444020322).

The spelling of 212010222010110 in words is "two hundred twelve trillion, ten billion, two hundred twenty-two million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1559 3118 4677 7321 7795 9354 14642 15590 21963 23385 26921 35857 36605 43926 46770 53842 71714 73210 80763 107571 109815 134605 161526 168383 179285 215142 219630 269210 336766 358570 403815 505149 537855 619183 807630 841915 1010298 1075710 1238366 1683830 1857549 2525745 3095915 3715098 5051490 6191830 9287745 11413439 18575490 22826878 34240317 41969839 57067195 68480634 83939678 114134390 125909517 171201585 197088641 209849195 251819034 262509097 342403170 394177282 419698390 525018194 591265923 629547585 787527291 965306297 985443205 1182531846 1259095170 1312545485 1575054582 1930612594 1970886410 2625090970 2895918891 2956329615 3937636455 4533038743 4826531485 5791837782 5912659230 7875272910 9066077486 9653062970 13599116229 14479594455 22665193715 27198232458 28959188910 45330387430 67995581145 135991162290 307261191319 614522382638 921783573957 1536305956595 1843567147914 3072611913190 4608917869785 7067007400337 9217835739570 14134014800674 21201022201011 35335037001685 42402044402022 70670074003370 106005111005055 212010222010110