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131133131300 = 22525693230341
BaseRepresentation
bin111101000100000100…
…1001100101000100100
3110112110220010021112202
41322020021030220210
54122030040200200
6140124114034032
712321413140103
oct1721011145044
9415426107482
10131133131300
1150682263486
12214b8278918
13c49a885822
1464bdb9003a
1536275911d5
hex1e8824ca24

131133131300 has 36 divisors (see below), whose sum is σ = 284610114516. Its totient is φ = 52443811200.

The previous prime is 131133131287. The next prime is 131133131303. The reversal of 131133131300 is 3131331131.

It can be written as a sum of positive squares in 6 ways, for example, as 84787264 + 131048344036 = 9208^2 + 362006^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (131133131303) 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, 454130 + ... + 684470.

Almost surely, 2131133131300 is an apocalyptic number.

131133131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131133131300 is an abundant number, since it is smaller than the sum of its proper divisors (153476983216).

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

131133131300 is a wasteful number, since it uses less digits than its factorization.

131133131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236048 (or 236041 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 131133131300 its reverse (3131331131), we get a palindrome (134264462431).

It can be divided in two parts, 13113 and 3131300, that added together give a palindrome (3144413).

The spelling of 131133131300 in words is "one hundred thirty-one billion, one hundred thirty-three million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5693 11386 22772 28465 56930 113860 142325 230341 284650 460682 569300 921364 1151705 2303410 4606820 5758525 11517050 23034100 1311331313 2622662626 5245325252 6556656565 13113313130 26226626260 32783282825 65566565650 131133131300