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132312210 = 23529152083
BaseRepresentation
bin1111110001011…
…10110010010010
3100012222011020020
413320232302102
5232332442320
621043524310
73164430612
oct770566222
9305864206
10132312210
1168761138
1238389696
1321548064
1413802a42
15b938940
hex7e2ec92

132312210 has 32 divisors (see below), whose sum is σ = 328501440. Its totient is φ = 34066368.

The previous prime is 132312199. The next prime is 132312251. The reversal of 132312210 is 12213231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 132312210.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75172 + ... + 76911.

It is an arithmetic number, because the mean of its divisors is an integer number (10265670).

Almost surely, 2132312210 is an apocalyptic number.

132312210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132312210 is an abundant number, since it is smaller than the sum of its proper divisors (196189230).

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

132312210 is a wasteful number, since it uses less digits than its factorization.

132312210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152122.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 132312210 is about 11502.7044646031. The cubic root of 132312210 is about 509.5654506823.

Adding to 132312210 its reverse (12213231), we get a palindrome (144525441).

The spelling of 132312210 in words is "one hundred thirty-two million, three hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 152083 304166 456249 760415 912498 1520830 2281245 4410407 4562490 8820814 13231221 22052035 26462442 44104070 66156105 132312210