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132420535533 = 33111346037451
BaseRepresentation
bin111101101010011100…
…0010000010011101101
3110122210121121012011000
41323110320100103231
54132144124114113
6140455543350513
712365334660156
oct1732470202355
9418717535130
10132420535533
1151182a38320
12217b7452439
13c644500590
1465a2b5292d
1536a05e4373
hex1ed4e104ed

132420535533 has 64 divisors (see below), whose sum is σ = 230556533760. Its totient is φ = 74055384000.

The previous prime is 132420535531. The next prime is 132420535561. The reversal of 132420535533 is 335535024231.

132420535533 is a `hidden beast` number, since 1 + 32 + 4 + 20 + 53 + 553 + 3 = 666.

It is not a de Polignac number, because 132420535533 - 21 = 132420535531 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132420535531) 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 63 ways as a sum of consecutive naturals, for example, 17768458 + ... + 17775908.

It is an arithmetic number, because the mean of its divisors is an integer number (3602445840).

Almost surely, 2132420535533 is an apocalyptic number.

132420535533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132420535533 is a deficient number, since it is larger than the sum of its proper divisors (98135998227).

132420535533 is a wasteful number, since it uses less digits than its factorization.

132420535533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12087 (or 12081 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 132420535533 its reverse (335535024231), we get a palindrome (467955559764).

The spelling of 132420535533 in words is "one hundred thirty-two billion, four hundred twenty million, five hundred thirty-five thousand, five hundred thirty-three".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 1287 3861 4603 7451 13809 22353 41427 50633 59839 67059 81961 96863 124281 151899 179517 201177 245883 290589 455697 538551 658229 737649 871767 1065493 1367091 1615653 1974687 2212947 2615301 3196479 5924061 9589437 17772183 28768311 34296953 102890859 308672577 377266483 445860389 926017731 1131799449 1337581167 3395398347 4012743501 4904464279 10186195041 12038230503 14713392837 44140178511 132420535533