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212110100112210 = 235191409502352579
BaseRepresentation
bin110000001110100110111011…
…001010111010001101010010
31000211000112020120111100212120
4300032212323022322031102
5210300202441112042320
62031042011303035110
762451310005001026
oct6016467312721522
91024015216440776
10212110100112210
116164842a8a6023
121b95843743ba96
139147b86b2b251
143a5427dc06386
15197c70cc80440
hexc0e9bb2ba352

212110100112210 has 128 divisors (see below), whose sum is σ = 536354362368000. Its totient is φ = 53535999762432.

The previous prime is 212110100112083. The next prime is 212110100112241. The reversal of 212110100112210 is 12211001011212.

It is a happy number.

212110100112210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121101001122102 (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 212110100112210.

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, 4034095701 + ... + 4034148279.

It is an arithmetic number, because the mean of its divisors is an integer number (4190268456000).

Almost surely, 2212110100112210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212110100112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268177181184000).

212110100112210 is an abundant number, since it is smaller than the sum of its proper divisors (324244262255790).

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

212110100112210 is a wasteful number, since it uses less digits than its factorization.

212110100112210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59040.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212110100112210 its reverse (12211001011212), we get a palindrome (224321101123422).

The spelling of 212110100112210 in words is "two hundred twelve trillion, one hundred ten billion, one hundred million, one hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 1409 2818 4227 5023 7045 8454 10046 14090 15069 21135 25115 26771 30138 42270 50230 52579 53542 75345 80313 95437 105158 133855 150690 157737 160626 190874 262895 267710 286311 315474 401565 477185 525790 572622 788685 803130 954370 999001 1431555 1577370 1998002 2863110 2997003 4995005 5994006 7077407 9990010 14154814 14985015 21232221 29970030 35387035 42464442 70774070 74083811 106161105 134470733 148167622 212322210 222251433 264104317 268941466 370419055 403412199 444502866 528208634 672353665 740838110 792312951 806824398 1111257165 1320521585 1344707330 1407592409 1584625902 2017060995 2222514330 2641043170 2815184818 3961564755 4034121990 4222777227 5017982023 7037962045 7923129510 8445554454 10035964046 14075924090 15053946069 21113886135 25089910115 30107892138 42227772270 50179820230 75269730345 150539460690 372122982653 744245965306 1116368947959 1860614913265 2232737895918 3721229826530 5581844739795 7070336670407 11163689479590 14140673340814 21211010011221 35351683352035 42422020022442 70703366704070 106055050056105 212110100112210