Search a number
-
+
32113100 = 2252674793
BaseRepresentation
bin111101010000…
…0000111001100
32020102111220002
41322200013030
531210104400
63104143432
7536646125
oct172400714
966374802
1032113100
1117144058
12a907b78
136864a46
14439d04c
152c44ed5
hex1ea01cc

32113100 has 36 divisors (see below), whose sum is σ = 70740264. Its totient is φ = 12650880.

The previous prime is 32113099. The next prime is 32113139. The reversal of 32113100 is 131123.

It is a super-2 number, since 2×321131002 = 2062502383220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4304 + ... + 9096.

Almost surely, 232113100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35370132).

32113100 is an abundant number, since it is smaller than the sum of its proper divisors (38627164).

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

32113100 is a wasteful number, since it uses less digits than its factorization.

32113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 32113100 is about 5666.8421541455. The cubic root of 32113100 is about 317.8538019740.

Adding to 32113100 its reverse (131123), we get a palindrome (32244223).

The spelling of 32113100 in words is "thirty-two million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1675 3350 4793 6700 9586 19172 23965 47930 95860 119825 239650 321131 479300 642262 1284524 1605655 3211310 6422620 8028275 16056550 32113100