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213066312 = 23383106961
BaseRepresentation
bin11001011001100…
…10001001001000
3112211220220000220
430230302021020
5414021110222
633050430040
75165014404
oct1454621110
9484826026
10213066312
11aa2a7968
125b432320
13351b0754
1420424104
1513a8ab5c
hexcb32248

213066312 has 32 divisors (see below), whose sum is σ = 539088480. Its totient is φ = 70165760.

The previous prime is 213066311. The next prime is 213066383. The reversal of 213066312 is 213660312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (213066311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51489 + ... + 55472.

It is an arithmetic number, because the mean of its divisors is an integer number (16846515).

Almost surely, 2213066312 is an apocalyptic number.

It is an amenable number.

213066312 is an abundant number, since it is smaller than the sum of its proper divisors (326022168).

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

213066312 is a wasteful number, since it uses less digits than its factorization.

213066312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107053 (or 107049 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 213066312 is about 14596.7911542229. The cubic root of 213066312 is about 597.2712307332.

The spelling of 213066312 in words is "two hundred thirteen million, sixty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992 106961 213922 320883 427844 641766 855688 1283532 2567064 8877763 17755526 26633289 35511052 53266578 71022104 106533156 213066312