Search a number
-
+
132010111300320 = 253251127130752663
BaseRepresentation
bin11110000000111111111111…
…110010100111001011100000
3122022102001011122001102012100
4132000333333302213023200
5114300323201443102240
61144432335151130400
736543262422640311
oct3600777762471340
9568361148042170
10132010111300320
11390761a0372660
121298053b213a00
1358876668a5ba6
1424854758a4608
15103dd450bbe30
hex780fffca72e0

132010111300320 has 288 divisors, whose sum is σ = 493251080684544. Its totient is φ = 31884359961600.

The previous prime is 132010111300313. The next prime is 132010111300411. The reversal of 132010111300320 is 23003111010231.

132010111300320 is a `hidden beast` number, since 1 + 3 + 20 + 10 + 1 + 11 + 300 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1320101113003202 (a number of 29 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 = 132010111300293 and 132010111300302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11083692 + ... + 19668971.

It is an arithmetic number, because the mean of its divisors is an integer number (1712677363488).

Almost surely, 2132010111300320 is an apocalyptic number.

132010111300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132010111300320 is an abundant number, since it is smaller than the sum of its proper divisors (361240969384224).

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

132010111300320 is a wasteful number, since it uses less digits than its factorization.

132010111300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30752966 (or 30752955 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132010111300320 its reverse (23003111010231), we get a palindrome (155013222310551).

The spelling of 132010111300320 in words is "one hundred thirty-two trillion, ten billion, one hundred eleven million, three hundred thousand, three hundred twenty".