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132210312 = 23313423751
BaseRepresentation
bin1111110000101…
…01111010001000
3100012202222110020
413320111322020
5232321212222
621041420440
73163524543
oct770257210
9305688406
10132210312
11686a1623
123833a720
1321510870
14137b785a
15b91865c
hex7e15e88

132210312 has 32 divisors (see below), whose sum is σ = 355951680. Its totient is φ = 40680000.

The previous prime is 132210293. The next prime is 132210329. The reversal of 132210312 is 213012231.

It is a junction number, because it is equal to n+sod(n) for n = 132210291 and 132210300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211564 + ... + 212187.

It is an arithmetic number, because the mean of its divisors is an integer number (11123490).

Almost surely, 2132210312 is an apocalyptic number.

132210312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132210312 is an abundant number, since it is smaller than the sum of its proper divisors (223741368).

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

132210312 is a wasteful number, since it uses less digits than its factorization.

132210312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423773 (or 423769 counting only the distinct ones).

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

The square root of 132210312 is about 11498.2743053034. The cubic root of 132210312 is about 509.4346060299.

Adding to 132210312 its reverse (213012231), we get a palindrome (345222543).

The spelling of 132210312 in words is "one hundred thirty-two million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 423751 847502 1271253 1695004 2542506 3390008 5085012 5508763 10170024 11017526 16526289 22035052 33052578 44070104 66105156 132210312