Search a number
-
+
210112201121121 = 321331611210978427
BaseRepresentation
bin101111110001100010001111…
…000111000101110101100001
31000112221112022120001211022100
4233301202033013011311201
5210014434241441333441
62022512113534001013
762154051133531245
oct5761421707056541
91015845276054270
10210112201121121
1160a480a1a12342
121b69519b046169
139031659949020
1439c56b03c6425
151945779468cb6
hexbf188f1c5d61

210112201121121 has 96 divisors (see below), whose sum is σ = 342948051031040. Its totient is φ = 123065828236800.

The previous prime is 210112201121101. The next prime is 210112201121177. The reversal of 210112201121121 is 121121102211012.

It is a happy number.

210112201121121 is a `hidden beast` number, since 210 + 1 + 1 + 220 + 1 + 1 + 211 + 21 = 666.

It is a de Polignac number, because none of the positive numbers 2k-210112201121121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210112201121094 and 210112201121103.

It is not an unprimeable number, because it can be changed into a prime (210112201121101) 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, 2679040710 + ... + 2679119136.

Almost surely, 2210112201121121 is an apocalyptic number.

It is an amenable number.

210112201121121 is a deficient number, since it is larger than the sum of its proper divisors (132835849909919).

210112201121121 is a wasteful number, since it uses less digits than its factorization.

210112201121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90647 (or 90644 counting only the distinct ones).

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

Adding to 210112201121121 its reverse (121121102211012), we get a palindrome (331233303332133).

The spelling of 210112201121121 in words is "two hundred ten trillion, one hundred twelve billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 13 31 39 61 93 117 183 279 403 549 793 1209 1891 2379 3627 5673 7137 12109 17019 24583 36327 73749 78427 108981 157417 221247 235281 375379 472251 705843 738649 1019551 1126137 1416753 2215947 2431237 3058653 3378411 4784047 4879927 6647841 7293711 9175959 9602437 14352141 14639781 21881133 22898119 28807311 31606081 43056423 43919343 62192611 68694357 86421933 94818243 148305457 186577833 206083071 284454729 297675547 444916371 559733499 893026641 949672543 1334749113 1927970941 2679079923 2849017629 5783912823 8547052887 12345743059 17351738469 29439848833 37037229177 57930025123 88319546499 111111687531 173790075369 264958639497 382718034829 521370226107 753090326599 1148154104487 1795830778813 2259270979797 3444462313461 5387492336439 6777812939391 16162477009317 23345800124569 70037400373707 210112201121121