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132103216 = 2472168499
BaseRepresentation
bin1111101111110…
…11110000110000
3100012120112112201
413313323300300
5232304300331
621035232544
73162600400
oct767736060
9305515481
10132103216
1168629113
12382a8754
13214a3bab
141378a800
15b8e6a61
hex7dfbc30

132103216 has 30 divisors (see below), whose sum is σ = 297739500. Its totient is φ = 56615328.

The previous prime is 132103177. The next prime is 132103217. The reversal of 132103216 is 612301231.

It is a junction number, because it is equal to n+sod(n) for n = 132103193 and 132103202.

It is not an unprimeable number, because it can be changed into a prime (132103217) 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 5 ways as a sum of consecutive naturals, for example, 83466 + ... + 85033.

It is an arithmetic number, because the mean of its divisors is an integer number (9924650).

Almost surely, 2132103216 is an apocalyptic number.

132103216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132103216 is an abundant number, since it is smaller than the sum of its proper divisors (165636284).

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

132103216 is a wasteful number, since it uses less digits than its factorization.

132103216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168521 (or 168508 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 132103216 is about 11493.6163151551. The cubic root of 132103216 is about 509.2970142744.

Adding to 132103216 its reverse (612301231), we get a palindrome (744404447).

The spelling of 132103216 in words is "one hundred thirty-two million, one hundred three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 168499 336998 673996 1179493 1347992 2358986 2695984 4717972 8256451 9435944 16512902 18871888 33025804 66051608 132103216