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132311223 = 32113741881
BaseRepresentation
bin1111110001011…
…10100010110111
3100012222002212200
413320232202313
5232332424343
621043515543
73164425002
oct770564267
9305862780
10132311223
1168760420
1238388bb3
1321547785
1413802539
15b9384d3
hex7e2e8b7

132311223 has 48 divisors (see below), whose sum is σ = 219596832. Its totient is φ = 76032000.

The previous prime is 132311209. The next prime is 132311233. The reversal of 132311223 is 322113231.

132311223 is a `hidden beast` number, since 132 + 311 + 223 = 666.

It is a de Polignac number, because none of the positive numbers 2k-132311223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132311196 and 132311205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132311233) 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 47 ways as a sum of consecutive naturals, for example, 149743 + ... + 150623.

It is an arithmetic number, because the mean of its divisors is an integer number (4574934).

Almost surely, 2132311223 is an apocalyptic number.

132311223 is a deficient number, since it is larger than the sum of its proper divisors (87285609).

132311223 is a wasteful number, since it uses less digits than its factorization.

132311223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 973 counting only the distinct ones).

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

The square root of 132311223 is about 11502.6615615691. The cubic root of 132311223 is about 509.5641836227.

Adding to 132311223 its reverse (322113231), we get a palindrome (454424454).

The spelling of 132311223 in words is "one hundred thirty-two million, three hundred eleven thousand, two hundred twenty-three".

Divisors: 1 3 9 11 33 37 41 99 111 123 333 369 407 451 881 1221 1353 1517 2643 3663 4059 4551 7929 9691 13653 16687 29073 32597 36121 50061 87219 97791 108363 150183 293373 325089 358567 397331 1075701 1191993 1336477 3227103 3575979 4009431 12028293 14701247 44103741 132311223