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213000066 = 23211833337
BaseRepresentation
bin11001011001000…
…01111110000010
3112211210112011100
430230201332002
5414012000231
633045155230
75164320306
oct1454417602
9484715140
10213000066
11aa262114
125b3bbb16
1335189556
1420407d06
1513a761e6
hexcb21f82

213000066 has 12 divisors (see below), whose sum is σ = 461500182. Its totient is φ = 71000016.

The previous prime is 213000049. The next prime is 213000097. The reversal of 213000066 is 660000312.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 126900225 + 86099841 = 11265^2 + 9279^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11833337 = 213000066 / (2 + 1 + 3 + 0 + 0 + 0 + 0 + 6 + 6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5916651 + ... + 5916686.

Almost surely, 2213000066 is an apocalyptic number.

213000066 is an abundant number, since it is smaller than the sum of its proper divisors (248500116).

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

213000066 is a wasteful number, since it uses less digits than its factorization.

213000066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11833345 (or 11833342 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 213000066 is about 14594.5217804490. The cubic root of 213000066 is about 597.2093236662.

Adding to 213000066 its reverse (660000312), we get a palindrome (873000378).

The spelling of 213000066 in words is "two hundred thirteen million, sixty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 11833337 23666674 35500011 71000022 106500033 213000066