Search a number
-
+
210133113102 = 232113318273877
BaseRepresentation
bin1100001110110011101…
…0001101100100001110
3202002101112112011110200
43003230322031210032
511420323034104402
6240311145514330
721116202663543
oct3035472154416
9662345464420
10210133113102
1181131734040
12348851a29a6
1316a7a7750a3
14a255bb4bca
1556ecd7821c
hex30ece8d90e

210133113102 has 96 divisors (see below), whose sum is σ = 498909849984. Its totient is φ = 63391204800.

The previous prime is 210133113077. The next prime is 210133113109. The reversal of 210133113102 is 201311331012.

210133113102 is a `hidden beast` number, since 21 + 0 + 1 + 331 + 1 + 310 + 2 = 666.

210133113102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210133113109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54197988 + ... + 54201864.

It is an arithmetic number, because the mean of its divisors is an integer number (5196977604).

Almost surely, 2210133113102 is an apocalyptic number.

210133113102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210133113102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249454924992).

210133113102 is an abundant number, since it is smaller than the sum of its proper divisors (288776736882).

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

210133113102 is a wasteful number, since it uses less digits than its factorization.

210133113102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 210133113102 its reverse (201311331012), we get a palindrome (411444444114).

The spelling of 210133113102 in words is "two hundred ten billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 331 662 827 993 1654 1986 2481 2979 3641 3877 4962 5958 7282 7443 7754 9097 10923 11631 14886 18194 21846 23262 27291 32769 34893 42647 54582 65538 69786 81873 85294 127941 163746 255882 273737 383823 547474 767646 821211 1283287 1642422 2463633 2566574 3011107 3206279 3849861 4927266 6022214 6412558 7699722 9033321 9618837 11549583 14116157 18066642 19237674 23099166 27099963 28232314 28856511 35269069 42348471 54199926 57713022 70538138 84696942 105807207 127045413 211614414 254090826 317421621 634843242 1061278349 2122556698 3183835047 6367670094 9551505141 11674061839 19103010282 23348123678 35022185517 70044371034 105066556551 210133113102