Search a number
-
+
132110000100 = 2232521319594287
BaseRepresentation
bin111101100001001011…
…1101001111111100100
3110121222222021100121200
41323002113221333210
54131030130000400
6140405051442500
712354544321101
oct1730227517744
9417888240550
10132110000100
1151033718471
122172b456430
13c5c50842c0
1465737d9aa8
153683203b00
hex1ec25e9fe4

132110000100 has 216 divisors, whose sum is σ = 469416205440. Its totient is φ = 30807786240.

The previous prime is 132110000093. The next prime is 132110000137. The reversal of 132110000100 is 1000011231.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74844 + ... + 519443.

Almost surely, 2132110000100 is an apocalyptic number.

132110000100 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 132110000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234708102720).

132110000100 is an abundant number, since it is smaller than the sum of its proper divisors (337306205340).

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

132110000100 is a wasteful number, since it uses less digits than its factorization.

132110000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594339 (or 594329 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 132110000100 its reverse (1000011231), we get a palindrome (133110011331).

The spelling of 132110000100 in words is "one hundred thirty-two billion, one hundred ten million, one hundred", and thus it is an aban number.