Search a number
-
+
210112201121112 = 23338319995862821
BaseRepresentation
bin101111110001100010001111…
…000111000101110101011000
31000112221112022120001211022000
4233301202033013011311120
5210014434241441333422
62022512113534001000
762154051133531233
oct5761421707056530
91015845276054260
10210112201121112
1160a480a1a12334
121b69519b046160
139031659949014
1439c56b03c641a
151945779468cac
hexbf188f1c5d58

210112201121112 has 128 divisors (see below), whose sum is σ = 590972457600000. Its totient is φ = 69158950381440.

The previous prime is 210112201121101. The next prime is 210112201121177. The reversal of 210112201121112 is 211121102211012.

It is a happy number.

210112201121112 is a `hidden beast` number, since 210 + 1 + 1 + 220 + 1 + 121 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32906662 + ... + 38769482.

It is an arithmetic number, because the mean of its divisors is an integer number (4616972325000).

Almost surely, 2210112201121112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210112201121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295486228800000).

210112201121112 is an abundant number, since it is smaller than the sum of its proper divisors (380860256478888).

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

210112201121112 is a wasteful number, since it uses less digits than its factorization.

210112201121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864918 (or 5864908 counting only the distinct ones).

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

Adding to 210112201121112 its reverse (211121102211012), we get a palindrome (421233303332124).

The spelling of 210112201121112 in words is "two hundred ten trillion, one hundred twelve billion, two hundred one million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 216 249 332 498 664 747 996 1494 1992 1999 2241 2988 3998 4482 5976 5997 7996 8964 11994 15992 17928 17991 23988 35982 47976 53973 71964 107946 143928 165917 215892 331834 431784 497751 663668 995502 1327336 1493253 1991004 2986506 3982008 4479759 5862821 5973012 8959518 11725642 11946024 17588463 17919036 23451284 35176926 35838072 46902568 52765389 70353852 105530778 140707704 158296167 211061556 316592334 422123112 486614143 633184668 973228286 1266369336 1459842429 1946456572 2919684858 3892913144 4379527287 5839369716 8759054574 11678739432 11719779179 13138581861 17518109148 23439558358 26277163722 35036218296 35159337537 46879116716 52554327444 70318675074 93758233432 105108654888 105478012611 140637350148 210956025222 281274700296 316434037833 421912050444 632868075666 843824100888 972741671857 1265736151332 1945483343714 2531472302664 2918225015571 3890966687428 5836450031142 7781933374856 8754675046713 11672900062284 17509350093426 23345800124568 26264025140139 35018700186852 52528050280278 70037400373704 105056100560556 210112201121112