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132333333012 = 22341260132413
BaseRepresentation
bin111101100111110101…
…1100110101000010100
3110122120112111211210000
41323033223212220110
54132004313124022
6140443150331300
712363225525336
oct1731753465024
9418515454700
10132333333012
1151138797821
12217921b9b30
13c62c41aa5a
146595333456
153697b1b6ac
hex1ecfae6a14

132333333012 has 60 divisors (see below), whose sum is σ = 345983600116. Its totient is φ = 44106249600.

The previous prime is 132333332987. The next prime is 132333333017. The reversal of 132333333012 is 210333333231.

132333333012 is a `hidden beast` number, since 1 + 3 + 23 + 3 + 333 + 301 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87387636996 + 44945696016 = 295614^2 + 212004^2 .

It is a super-2 number, since 2×1323333330122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132333333017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4066518 + ... + 4098930.

Almost surely, 2132333333012 is an apocalyptic number.

132333333012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132333333012 is an abundant number, since it is smaller than the sum of its proper divisors (213650267104).

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

132333333012 is a wasteful number, since it uses less digits than its factorization.

132333333012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45030 (or 45019 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 132333333012 its reverse (210333333231), we get a palindrome (342666666243).

The spelling of 132333333012 in words is "one hundred thirty-two billion, three hundred thirty-three million, three hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 12601 25202 32413 37803 50404 64826 75606 97239 113409 129652 151212 194478 226818 291717 340227 388956 453636 583434 680454 875151 1020681 1166868 1360908 1750302 2041362 2625453 3500604 4082724 5250906 10501812 408436213 816872426 1225308639 1633744852 2450617278 3675925917 4901234556 7351851834 11027777751 14703703668 22055555502 33083333253 44111111004 66166666506 132333333012