Search a number
-
+
132000100 = 22521916911
BaseRepresentation
bin1111101111000…
…10100101100100
3100012101022002121
413313202211210
5232243000400
621033115324
73161660641
oct767424544
9305338077
10132000100
11685686a1
1238258b44
1321468c8b
1413760dc8
15b8c621a
hex7de2964

132000100 has 36 divisors (see below), whose sum is σ = 287981568. Its totient is φ = 52516000.

The previous prime is 132000091. The next prime is 132000101. The reversal of 132000100 is 1000231.

It is not an unprimeable number, because it can be changed into a prime (132000101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15645 + ... + 22555.

It is an arithmetic number, because the mean of its divisors is an integer number (7999488).

Almost surely, 2132000100 is an apocalyptic number.

132000100 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 132000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143990784).

132000100 is an abundant number, since it is smaller than the sum of its proper divisors (155981468).

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

132000100 is a wasteful number, since it uses less digits than its factorization.

132000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116 (or 7109 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 132000100 is about 11489.1296450166. The cubic root of 132000100 is about 509.1644655428.

Adding to 132000100 its reverse (1000231), we get a palindrome (133000331).

The spelling of 132000100 in words is "one hundred thirty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1910 3820 4775 6911 9550 13822 19100 27644 34555 69110 138220 172775 345550 691100 1320001 2640002 5280004 6600005 13200010 26400020 33000025 66000050 132000100