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132330203010 = 2345163370621
BaseRepresentation
bin111101100111101111…
…1101010011110000010
3110122120022121211020000
41323033133222132002
54132003012444020
6140442555300430
712363160111065
oct1731737523602
9418508554200
10132330203010
1151136a4a145
122179114a716
13c62b893195
146594b5a8dc
1536976ee090
hex1ecf7ea782

132330203010 has 40 divisors (see below), whose sum is σ = 355821214716. Its totient is φ = 35288053920.

The previous prime is 132330203003. The next prime is 132330203017. The reversal of 132330203010 is 10302033231.

132330203010 is a `hidden beast` number, since 1 + 32 + 330 + 2 + 0 + 301 + 0 = 666.

132330203010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132330203003) and next prime (132330203017).

It can be written as a sum of positive squares in 2 ways, for example, as 131949836001 + 380367009 = 363249^2 + 19503^2 .

It is a super-2 number, since 2×1323302030102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132330203017) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 81684501 + ... + 81686120.

Almost surely, 2132330203010 is an apocalyptic number.

132330203010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132330203010 is an abundant number, since it is smaller than the sum of its proper divisors (223491011706).

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

132330203010 is a wasteful number, since it uses less digits than its factorization.

132330203010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163370640 (or 163370631 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 132330203010 its reverse (10302033231), we get a palindrome (142632236241).

The spelling of 132330203010 in words is "one hundred thirty-two billion, three hundred thirty million, two hundred three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 163370621 326741242 490111863 816853105 980223726 1470335589 1633706210 2450559315 2940671178 4411006767 4901118630 7351677945 8822013534 13233020301 14703355890 22055033835 26466040602 44110067670 66165101505 132330203010