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132014381200 = 24521325387381
BaseRepresentation
bin111101011110010101…
…0111001100010010000
3110121202022100102010221
41322330222321202100
54130331140144300
6140351354202424
712352303503562
oct1727452714220
9417668312127
10132014381200
1150a94749589
1221703423414
13c5ab315980
146564c29332
153679b1731a
hex1ebcab9890

132014381200 has 60 divisors (see below), whose sum is σ = 341561837428. Its totient is φ = 48743769600.

The previous prime is 132014381173. The next prime is 132014381203. The reversal of 132014381200 is 2183410231.

It is a happy number.

132014381200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 21678336 + 131992702864 = 4656^2 + 363308^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (132014381203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12688491 + ... + 12698890.

Almost surely, 2132014381200 is an apocalyptic number.

132014381200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132014381200 is an abundant number, since it is smaller than the sum of its proper divisors (209547456228).

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

132014381200 is a wasteful number, since it uses less digits than its factorization.

132014381200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25387412 (or 25387401 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 132014381200 its reverse (2183410231), we get a palindrome (134197791431).

The spelling of 132014381200 in words is "one hundred thirty-two billion, fourteen million, three hundred eighty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 25387381 50774762 101549524 126936905 203099048 253873810 330035953 406198096 507747620 634684525 660071906 1015495240 1269369050 1320143812 1650179765 2030990480 2538738100 2640287624 3300359530 5077476200 5280575248 6600719060 8250898825 10154952400 13201438120 16501797650 26402876240 33003595300 66007190600 132014381200