Search a number
-
+
32404121100 = 223252136145403
BaseRepresentation
bin11110001011011011…
…111010011000001100
310002122022001220112100
4132023123322120030
51012330423333400
622515232435100
72225001325161
oct361333723014
9102568056470
1032404121100
111281931087a
1263440a8a90
133095494770
1417d585c068
15c99c16100
hex78b6fa60c

32404121100 has 216 divisors, whose sum is σ = 111177505712. Its totient is φ = 7845465600.

The previous prime is 32404121089. The next prime is 32404121119. The reversal of 32404121100 is 112140423.

32404121100 is a `hidden beast` number, since 3 + 240 + 412 + 1 + 10 + 0 = 666.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 690999 + ... + 736401.

Almost surely, 232404121100 is an apocalyptic number.

32404121100 is a gapful number since it is divisible by the number (30) 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 32404121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55588752856).

32404121100 is an abundant number, since it is smaller than the sum of its proper divisors (78773384612).

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

32404121100 is a wasteful number, since it uses less digits than its factorization.

32404121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45497 (or 45487 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 32404121100 its reverse (112140423), we get a palindrome (32516261523).

The spelling of 32404121100 in words is "thirty-two billion, four hundred four million, one hundred twenty-one thousand, one hundred".