Search a number
-
+
132033010320 = 24325183379181
BaseRepresentation
bin111101011110111000…
…1111101101010010000
3110121210121101212111100
41322331301331222100
54130400422312240
6140353301344400
712352621033101
oct1727561755220
9417717355440
10132033010320
1150aa4212952
1221709708100
13c5b2139113
1465674b83a8
15367b596e30
hex1ebdc7da90

132033010320 has 60 divisors (see below), whose sum is σ = 443410862076. Its totient is φ = 35208802560.

The previous prime is 132033010313. The next prime is 132033010367. The reversal of 132033010320 is 23010330231.

132033010320 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 330 + 10 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80229429504 + 51803580816 = 283248^2 + 227604^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1320330103202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 132033010293 and 132033010302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91688871 + ... + 91690310.

Almost surely, 2132033010320 is an apocalyptic number.

132033010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132033010320 is an abundant number, since it is smaller than the sum of its proper divisors (311377851756).

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

132033010320 is a wasteful number, since it uses less digits than its factorization.

132033010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183379200 (or 183379191 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 132033010320 its reverse (23010330231), we get a palindrome (155043340551).

The spelling of 132033010320 in words is "one hundred thirty-two billion, thirty-three million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 183379181 366758362 550137543 733516724 916895905 1100275086 1467033448 1650412629 1833791810 2200550172 2750687715 2934066896 3300825258 3667583620 4401100344 5501375430 6601650516 7335167240 8252063145 8802200688 11002750860 13203301032 14670334480 16504126290 22005501720 26406602064 33008252580 44011003440 66016505160 132033010320