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213131133 = 32236116879
BaseRepresentation
bin11001011010000…
…01111101111101
3112212001011221200
430231001331331
5414030144013
633052050113
75165404365
oct1455017575
9485034850
10213131133
11aa341636
125b463939
13352040c7
142043d9a5
1513a9ee73
hexcb41f7d

213131133 has 24 divisors (see below), whose sum is σ = 326526720. Its totient is φ = 133673760.

The previous prime is 213131131. The next prime is 213131141. The reversal of 213131133 is 331131312.

It is a happy number.

It is not a de Polignac number, because 213131133 - 21 = 213131131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4188 + ... + 21066.

It is an arithmetic number, because the mean of its divisors is an integer number (13605280).

Almost surely, 2213131133 is an apocalyptic number.

213131133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

213131133 is a deficient number, since it is larger than the sum of its proper divisors (113395587).

213131133 is a wasteful number, since it uses less digits than its factorization.

213131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16969 (or 16966 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 213131133 is about 14599.0113706374. The cubic root of 213131133 is about 597.3317937141.

Adding to 213131133 its reverse (331131312), we get a palindrome (544262445).

The spelling of 213131133 in words is "two hundred thirteen million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 23 61 69 183 207 549 1403 4209 12627 16879 50637 151911 388217 1029619 1164651 3088857 3493953 9266571 23681237 71043711 213131133