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132021121113 = 32710120748251
BaseRepresentation
bin111101011110100010…
…0100111000001011001
3110121202210000211120100
41322331010213001121
54130334401333423
6140352154450013
712352415004510
oct1727504470131
9417683024510
10132021121113
1150a98532362
1221705733909
13c5ac83569b
146565aa1677
15367a4e9343
hex1ebd127059

132021121113 has 24 divisors (see below), whose sum is σ = 220097457216. Its totient is φ = 74693700000.

The previous prime is 132021121093. The next prime is 132021121129. The reversal of 132021121113 is 311121120231.

132021121113 is a `hidden beast` number, since 1 + 320 + 211 + 21 + 113 = 666.

It is not a de Polignac number, because 132021121113 - 210 = 132021120089 is a prime.

It is a super-3 number, since 3×1320211211133 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132021121163) 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 23 ways as a sum of consecutive naturals, for example, 10367763 + ... + 10380488.

It is an arithmetic number, because the mean of its divisors is an integer number (9170727384).

Almost surely, 2132021121113 is an apocalyptic number.

It is an amenable number.

132021121113 is a deficient number, since it is larger than the sum of its proper divisors (88076336103).

132021121113 is a wasteful number, since it uses less digits than its factorization.

132021121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20748365 (or 20748362 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 132021121113 its reverse (311121120231), we get a palindrome (443142241344).

The spelling of 132021121113 in words is "one hundred thirty-two billion, twenty-one million, one hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 63 101 303 707 909 2121 6363 20748251 62244753 145237757 186734259 435713271 1307139813 2095573351 6286720053 14669013457 18860160159 44007040371 132021121113