Search a number
-
+
132332221032300 = 2232524753147140127
BaseRepresentation
bin11110000101101011111111…
…000001101110011101101100
3122100112211121000100012101200
4132011223333001232131230
5114321112342041013200
61145240325540405500
736605454541325652
oct3605537701563554
9570484530305350
10132332221032300
113918a863973823
1212a12a550a6890
1358abb4b1c6b33
142496cb118cdd2
1510473e8832800
hex785aff06e76c

132332221032300 has 432 divisors, whose sum is σ = 431910147981312. Its totient is φ = 33862235097600.

The previous prime is 132332221032299. The next prime is 132332221032301. The reversal of 132332221032300 is 3230122233231.

132332221032300 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 322 + 2 + 1 + 0 + 32 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (132332221032299) and next prime (132332221032301).

It is not an unprimeable number, because it can be changed into a prime (132332221032301) 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, 3297814837 + ... + 3297854963.

It is an arithmetic number, because the mean of its divisors is an integer number (999792009216).

Almost surely, 2132332221032300 is an apocalyptic number.

132332221032300 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 132332221032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215955073990656).

132332221032300 is an abundant number, since it is smaller than the sum of its proper divisors (299577926949012).

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

132332221032300 is a wasteful number, since it uses less digits than its factorization.

132332221032300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41718 (or 41708 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 132332221032300 its reverse (3230122233231), we get a palindrome (135562343265531).

The spelling of 132332221032300 in words is "one hundred thirty-two trillion, three hundred thirty-two billion, two hundred twenty-one million, thirty-two thousand, three hundred".