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132131333224044 = 223371115888808709
BaseRepresentation
bin11110000010110000111001…
…001011100011011001101100
3122022211122001210111011221000
4132002300321023203121230
5114304314432301132134
61145004144013440300
736555113420201460
oct3602607113433154
9568748053434830
10132131333224044
1139112646a480a0
121299bb301a0090
135895c14c8c63b
14248b2952064a0
15104208c48de99
hex782c392e366c

132131333224044 has 96 divisors (see below), whose sum is σ = 427091178124800. Its totient is φ = 34319826809280.

The previous prime is 132131333224027. The next prime is 132131333224061. The reversal of 132131333224044 is 440422333131231.

132131333224044 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 313 + 332 + 2 + 4 + 0 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (132131333224027) and next prime (132131333224061).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7944396039 + ... + 7944412670.

It is an arithmetic number, because the mean of its divisors is an integer number (4448866438800).

Almost surely, 2132131333224044 is an apocalyptic number.

132131333224044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132131333224044 is an abundant number, since it is smaller than the sum of its proper divisors (294959844900756).

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

132131333224044 is a wasteful number, since it uses less digits than its factorization.

132131333224044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15888808740 (or 15888808732 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 132131333224044 its reverse (440422333131231), we get a palindrome (572553666355275).

The spelling of 132131333224044 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, three hundred thirty-three million, two hundred twenty-four thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 15888808709 31777617418 47666426127 63555234836 95332852254 111221660963 142999278381 174776895799 190665704508 222443321926 285998556762 333664982889 349553791598 428997835143 444886643852 524330687397 571997113524 667329965778 699107583196 857995670286 1000994948667 1048661374794 1223438270593 1334659931556 1572992062191 1715991340572 2001989897334 2097322749588 2446876541186 3002984846001 3145984124382 3670314811779 4003979794668 4718976186573 4893753082372 6005969692002 6291968248764 7340629623558 9437952373146 11010944435337 12011939384004 14681259247116 18875904746292 22021888870674 33032833306011 44043777741348 66065666612022 132131333224044