Search a number
-
+
210213131331 = 37103311238629
BaseRepresentation
bin1100001111000110101…
…1011101010001000011
3202002121010002111211210
43003301223131101003
511421004030200311
6240323124541203
721121164064050
oct3036153352103
9662533074753
10210213131331
1181172917a05
12348a7b51803
1316a91210858
14a262684027
155704dd23a6
hex30f1add443

210213131331 has 32 divisors (see below), whose sum is σ = 320957570560. Its totient is φ = 119884748544.

The previous prime is 210213131291. The next prime is 210213131347. The reversal of 210213131331 is 133131312012.

It is a happy number.

210213131331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 210213131331 - 26 = 210213131267 is a prime.

It is a super-2 number, since 2×2102131313312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210213131298 and 210213131307.

It is not an unprimeable number, because it can be changed into a prime (210213131131) 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 31 ways as a sum of consecutive naturals, for example, 24356925 + ... + 24365553.

It is an arithmetic number, because the mean of its divisors is an integer number (10029924080).

Almost surely, 2210213131331 is an apocalyptic number.

210213131331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

210213131331 is a deficient number, since it is larger than the sum of its proper divisors (110744439229).

210213131331 is a wasteful number, since it uses less digits than its factorization.

210213131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10795.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 210213131331 its reverse (133131312012), we get a palindrome (343344443343).

The spelling of 210213131331 in words is "two hundred ten billion, two hundred thirteen million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 21 1033 1123 3099 3369 7231 7861 8629 21693 23583 25887 60403 181209 1160059 3480177 8120413 8913757 9690367 24361239 26741271 29071101 62396299 67832569 187188897 203497707 10010149111 30030447333 70071043777 210213131331