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132033013110 = 232517118772701
BaseRepresentation
bin111101011110111000…
…1111110010101110110
3110121210121102000022200
41322331301332111312
54130400422404420
6140353301405330
712352621044165
oct1727561762566
9417717360280
10132033013110
1150aa4214a59
1221709709846
13c5b213a47b
1465674b93dc
15367b597b90
hex1ebdc7e576

132033013110 has 96 divisors (see below), whose sum is σ = 363790338912. Its totient is φ = 33109324800.

The previous prime is 132033013087. The next prime is 132033013111. The reversal of 132033013110 is 11310330231.

It is a happy number.

132033013110 is a `hidden beast` number, since 1 + 3 + 20 + 330 + 1 + 311 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132033013111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1779760 + ... + 1852460.

It is an arithmetic number, because the mean of its divisors is an integer number (3789482697).

Almost surely, 2132033013110 is an apocalyptic number.

132033013110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132033013110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181895169456).

132033013110 is an abundant number, since it is smaller than the sum of its proper divisors (231757325802).

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

132033013110 is a wasteful number, since it uses less digits than its factorization.

132033013110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73918 (or 73915 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 132033013110 its reverse (11310330231), we get a palindrome (143343343341).

The spelling of 132033013110 in words is "one hundred thirty-two billion, thirty-three million, thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1187 1530 2374 3561 5935 7122 10683 11870 17805 20179 21366 35610 40358 53415 60537 72701 100895 106830 121074 145402 181611 201790 218103 302685 363222 363505 436206 605370 654309 727010 908055 1090515 1235917 1308618 1816110 2181030 2471834 3271545 3707751 6179585 6543090 7415502 11123253 12359170 18538755 22246506 37077510 55616265 86296087 111232530 172592174 258888261 431480435 517776522 776664783 862960870 1294441305 1467033479 1553329566 2588882610 2934066958 3883323915 4401100437 7335167395 7766647830 8802200874 13203301311 14670334790 22005502185 26406602622 44011004370 66016506555 132033013110