Search a number
-
+
132001102200000 = 263551129771861
BaseRepresentation
bin11110000000110111100110…
…110011100111110011000000
3122022101011220202211200220010
4132000313212303213303000
5114300201224130400000
61144424245202544520
736542523236564565
oct3600674663476300
9568334822750803
10132001102200000
1139072397a26200
121297a846068140
13588685c28a6b7
142484c5d1a086c
15103d9b91e3d50
hex780de6ce7cc0

132001102200000 has 1008 divisors, whose sum is σ = 480580476443424. Its totient is φ = 31950336000000.

The previous prime is 132001102199969. The next prime is 132001102200007. The reversal of 132001102200000 is 2201100231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (132001102200007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70930199070 + ... + 70930200930.

It is an arithmetic number, because the mean of its divisors is an integer number (476766345678).

Almost surely, 2132001102200000 is an apocalyptic number.

132001102200000 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 132001102200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240290238221712).

132001102200000 is an abundant number, since it is smaller than the sum of its proper divisors (348579374243424).

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

132001102200000 is an equidigital number, since it uses as much as digits as its factorization.

132001102200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 132001102200000 its reverse (2201100231), we get a palindrome (132003303300231).

The spelling of 132001102200000 in words is "one hundred thirty-two trillion, one billion, one hundred two million, two hundred thousand".