Search a number
-
+
210211112012121 = 32113767867798713
BaseRepresentation
bin101111110010111110010110…
…101010001100100101011001
31000120021222121211100200212200
4233302332112222030211121
5210023044324133341441
62023025352433400413
762164152214323663
oct5762762652144531
91016258554320780
10210211112012121
1160a860395a1760
121b6b03a4109109
13903aa9091c06c
1439ca3b4941533
151948117c6e7b6
hexbf2f96a8c959

210211112012121 has 96 divisors (see below), whose sum is σ = 345315047645568. Its totient is φ = 122091992478720.

The previous prime is 210211112012119. The next prime is 210211112012141. The reversal of 210211112012121 is 121210211112012.

It is a happy number.

210211112012121 is a `hidden beast` number, since 210 + 21 + 111 + 201 + 2 + 121 = 666.

It is not a de Polignac number, because 210211112012121 - 21 = 210211112012119 is a prime.

It is a super-2 number, since 2×2102111120121212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210211112012094 and 210211112012103.

It is not an unprimeable number, because it can be changed into a prime (210211112012141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2129468661 + ... + 2129567373.

It is an arithmetic number, because the mean of its divisors is an integer number (3597031746308).

Almost surely, 2210211112012121 is an apocalyptic number.

It is an amenable number.

210211112012121 is a deficient number, since it is larger than the sum of its proper divisors (135103935633447).

210211112012121 is a wasteful number, since it uses less digits than its factorization.

210211112012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107511 (or 107508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 210211112012121 its reverse (121210211112012), we get a palindrome (331421323124133).

It can be divided in two parts, 210211112012 and 121, that multiplied together give a palindrome (25435544553452).

The spelling of 210211112012121 in words is "two hundred ten trillion, two hundred eleven billion, one hundred twelve million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 37 67 99 111 201 333 407 603 737 1221 2211 2479 3663 6633 7437 8677 22311 26031 27269 78093 81807 95447 98713 245421 286341 296139 321049 581359 859023 888417 963147 1085843 1744077 2889441 3257529 3531539 3652381 5232231 6394949 6613771 9772587 10594617 10957143 19184847 19841313 21510283 31783851 32871429 40176191 57554541 59523939 64530849 72751481 120528573 193592547 218254443 236613113 244709527 361585719 654763329 709839339 734128581 856532701 2129518017 2202385743 2569598103 2691804797 7708794309 8075414391 9421859711 24226243173 28265579133 31691709937 57387690967 84796737399 95075129811 172163072901 285225389433 348608809307 516489218703 631264600637 1045826427921 1893793801911 2123344565779 3137479283763 5681381405733 6370033697337 19110101092011 23356790223569 70070370670707 210211112012121