Search a number
-
+
120132302100300 = 22325272171031555733
BaseRepresentation
bin11011010100001001111011…
…001100010101011101001100
3120202100112110200112002111100
4123110021323030111131030
5111221221423314202200
61103300003454023100
734206162302401200
oct3324117314253514
9522315420462440
10120132302100300
1135306906769376
1211582540aa7a90
135205573230619
142194612192b00
15dd4db4652d00
hex6d427b31574c

120132302100300 has 648 divisors, whose sum is σ = 468294577916256. Its totient is φ = 25592662609920.

The previous prime is 120132302100287. The next prime is 120132302100301. The reversal of 120132302100300 is 3001203231021.

120132302100300 is a `hidden beast` number, since 1 + 20 + 1 + 32 + 302 + 10 + 0 + 300 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (120132302100301) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 76441234 + ... + 77996966.

It is an arithmetic number, because the mean of its divisors is an integer number (722676817772).

Almost surely, 2120132302100300 is an apocalyptic number.

120132302100300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120132302100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234147288958128).

120132302100300 is an abundant number, since it is smaller than the sum of its proper divisors (348162275815956).

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

120132302100300 is a wasteful number, since it uses less digits than its factorization.

120132302100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555887 (or 1555870 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120132302100300 its reverse (3001203231021), we get a palindrome (123133505331321).

The spelling of 120132302100300 in words is "one hundred twenty trillion, one hundred thirty-two billion, three hundred two million, one hundred thousand, three hundred".