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132311120 = 2451998311
BaseRepresentation
bin1111110001011…
…10100001010000
3100012222002201212
413320232201100
5232332423440
621043515252
73164424464
oct770564120
9305862655
10132311120
1168760337
1238388b28
1321547706
14138024a4
15b938465
hex7e2e850

132311120 has 40 divisors (see below), whose sum is σ = 309206400. Its totient is φ = 52652160.

The previous prime is 132311093. The next prime is 132311173. The reversal of 132311120 is 21113231.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 132311095 and 132311104.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11765 + ... + 20075.

It is an arithmetic number, because the mean of its divisors is an integer number (7730160).

Almost surely, 2132311120 is an apocalyptic number.

132311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132311120 is an abundant number, since it is smaller than the sum of its proper divisors (176895280).

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

132311120 is a wasteful number, since it uses less digits than its factorization.

132311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8523 (or 8517 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 132311120 is about 11502.6570843436. The cubic root of 132311120 is about 509.5640513963.

Adding to 132311120 its reverse (21113231), we get a palindrome (153424351).

The spelling of 132311120 in words is "one hundred thirty-two million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 199 398 796 995 1592 1990 3184 3980 7960 8311 15920 16622 33244 41555 66488 83110 132976 166220 332440 664880 1653889 3307778 6615556 8269445 13231112 16538890 26462224 33077780 66155560 132311120