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131133200 = 24521129803
BaseRepresentation
bin1111101000011…
…10111100010000
3100010202020221012
413310032330100
5232032230300
621002350052
73151420352
oct764167420
9303666835
10131133200
1168026350
1237abb328
1321224513
14135b70d2
15b7a4435
hex7d0ef10

131133200 has 60 divisors (see below), whose sum is σ = 343699728. Its totient is φ = 47683200.

The previous prime is 131133199. The next prime is 131133203. The reversal of 131133200 is 2331131.

It is a super-2 number, since 2×1311332002 = 34391832284480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131133203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10502 + ... + 19301.

Almost surely, 2131133200 is an apocalyptic number.

131133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131133200 is an abundant number, since it is smaller than the sum of its proper divisors (212566528).

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

131133200 is a wasteful number, since it uses less digits than its factorization.

131133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29832 (or 29821 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 131133200 is about 11451.3405328809. The cubic root of 131133200 is about 508.0473843415.

Adding to 131133200 its reverse (2331131), we get a palindrome (133464331).

It can be divided in two parts, 131 and 133200, that added together give a palindrome (133331).

The spelling of 131133200 in words is "one hundred thirty-one million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 29803 59606 119212 149015 238424 298030 327833 476848 596060 655666 745075 1192120 1311332 1490150 1639165 2384240 2622664 2980300 3278330 5245328 5960600 6556660 8195825 11921200 13113320 16391650 26226640 32783300 65566600 131133200