Search a number
-
+
133323141132 = 22331964972291
BaseRepresentation
bin111110000101010101…
…1011011000000001100
3110202010112000022021000
41330022223123000030
54141021211004012
6141125305340300
712426605000316
oct1741253330014
9422115008230
10133323141132
11515a648a265
1221a09797690
13c7594c9c2c
14664a98a7b6
153704987ddc
hex1f0aadb00c

133323141132 has 48 divisors (see below), whose sum is σ = 363844835200. Its totient is φ = 42102043920.

The previous prime is 133323141109. The next prime is 133323141139. The reversal of 133323141132 is 231141323331.

133323141132 is a `hidden beast` number, since 1 + 3 + 332 + 314 + 1 + 13 + 2 = 666.

It is a super-2 number, since 2×1333231411322 (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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133323141096 and 133323141105.

It is not an unprimeable number, because it can be changed into a prime (133323141139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32484094 + ... + 32488197.

Almost surely, 2133323141132 is an apocalyptic number.

133323141132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133323141132 is an abundant number, since it is smaller than the sum of its proper divisors (230521694068).

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

133323141132 is a wasteful number, since it uses less digits than its factorization.

133323141132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64972323 (or 64972315 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 133323141132 its reverse (231141323331), we get a palindrome (364464464463).

The spelling of 133323141132 in words is "one hundred thirty-three billion, three hundred twenty-three million, one hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 64972291 129944582 194916873 259889164 389833746 584750619 779667492 1169501238 1234473529 1754251857 2339002476 2468947058 3508503714 3703420587 4937894116 7017007428 7406841174 11110261761 14813682348 22220523522 33330785283 44441047044 66661570566 133323141132