Search a number
-
+
132012123020100 = 223252792819676833
BaseRepresentation
bin11110000001000001110111…
…101100101101101101000100
3122022102020100211110100221100
4132001001313230231231010
5114300341311443120400
61144433310533220100
736543363321163461
oct3601016754555504
9568366324410840
10132012123020100
1139077032994494
1212980a00a91630
1358878c75c481b
1424855c6b30668
15103de119e7100
hex781077b2db44

132012123020100 has 432 divisors, whose sum is σ = 421010098629120. Its totient is φ = 34593050419200.

The previous prime is 132012123020087. The next prime is 132012123020101. The reversal of 132012123020100 is 1020321210231.

132012123020100 is a `hidden beast` number, since 1 + 320 + 1 + 212 + 30 + 2 + 0 + 100 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132012123020101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19319786284 + ... + 19319793116.

Almost surely, 2132012123020100 is an apocalyptic number.

132012123020100 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 132012123020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210505049314560).

132012123020100 is an abundant number, since it is smaller than the sum of its proper divisors (288997975609020).

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

132012123020100 is a wasteful number, since it uses less digits than its factorization.

132012123020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8180 (or 8170 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132012123020100 its reverse (1020321210231), we get a palindrome (133032444230331).

The spelling of 132012123020100 in words is "one hundred thirty-two trillion, twelve billion, one hundred twenty-three million, twenty thousand, one hundred".