Search a number
-
+
132022023102000 = 24325389535115401
BaseRepresentation
bin11110000001001011000101…
…110010100001111000110000
3122022110011220210012122012100
4132001023011302201320300
5114301022100403231000
61144442025150300400
736544163543404143
oct3601130562417060
9568404823178170
10132022023102000
1139080253263559
12129829044b7700
135888814699855
142485c858c405a
15103e2e0c19a00
hex7812c5ca1e30

132022023102000 has 480 divisors, whose sum is σ = 466407341412480. Its totient is φ = 34801536000000.

The previous prime is 132022023101993. The next prime is 132022023102001. The reversal of 132022023102000 is 201320220231.

132022023102000 is a `hidden beast` number, since 1 + 320 + 220 + 23 + 102 + 0 + 0 + 0 = 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 (132022023102001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8572294300 + ... + 8572309700.

It is an arithmetic number, because the mean of its divisors is an integer number (971681961276).

Almost surely, 2132022023102000 is an apocalyptic number.

132022023102000 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 132022023102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233203670706240).

132022023102000 is an abundant number, since it is smaller than the sum of its proper divisors (334385318310480).

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

132022023102000 is a wasteful number, since it uses less digits than its factorization.

132022023102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20870 (or 20851 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132022023102000 its reverse (201320220231), we get a palindrome (132223343322231).

The spelling of 132022023102000 in words is "one hundred thirty-two trillion, twenty-two billion, twenty-three million, one hundred two thousand".