Search a number
-
+
132102300 = 223521140031
BaseRepresentation
bin1111101111110…
…11100010011100
3100012120111021210
413313323202130
5232304233200
621035224420
73162564621
oct767734234
9305514253
10132102300
1168628460
12382a8110
13214a3655
141378a348
15b8e6650
hex7dfb89c

132102300 has 72 divisors (see below), whose sum is σ = 416973312. Its totient is φ = 32024000.

The previous prime is 132102293. The next prime is 132102319. The reversal of 132102300 is 3201231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16716 + ... + 23315.

It is an arithmetic number, because the mean of its divisors is an integer number (5791296).

Almost surely, 2132102300 is an apocalyptic number.

132102300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132102300 is an abundant number, since it is smaller than the sum of its proper divisors (284871012).

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

132102300 is a wasteful number, since it uses less digits than its factorization.

132102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40059 (or 40052 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 132102300 is about 11493.5764668792. The cubic root of 132102300 is about 509.2958371213.

Adding to 132102300 its reverse (3201231), we get a palindrome (135303531).

The spelling of 132102300 in words is "one hundred thirty-two million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 40031 80062 120093 160124 200155 240186 400310 440341 480372 600465 800620 880682 1000775 1200930 1321023 1761364 2001550 2201705 2401860 2642046 3002325 4003100 4403410 5284092 6004650 6605115 8806820 11008525 12009300 13210230 22017050 26420460 33025575 44034100 66051150 132102300