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132210122002200 = 2332521119379498263
BaseRepresentation
bin11110000011111010010001…
…010110111000111100011000
3122100010011102201110210220200
4132003322101112320330120
5114312112312213032300
61145104254102422200
736563603033566164
oct3603722126707430
9570104381423820
10132210122002200
1139142aa8183290
12129b325a431960
1358a04901a1228
14249100b16dca4
15104414e457200
hex783e915b8f18

132210122002200 has 576 divisors, whose sum is σ = 523643093625600. Its totient is φ = 29543394124800.

The previous prime is 132210122002157. The next prime is 132210122002291. The reversal of 132210122002200 is 2200221012231.

132210122002200 is a `hidden beast` number, since 1 + 3 + 221 + 0 + 1 + 220 + 0 + 220 + 0 = 666.

132210122002200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9170269 + ... + 18668531.

It is an arithmetic number, because the mean of its divisors is an integer number (909102593100).

Almost surely, 2132210122002200 is an apocalyptic number.

132210122002200 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 132210122002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261821546812800).

132210122002200 is an abundant number, since it is smaller than the sum of its proper divisors (391432971623400).

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

132210122002200 is a wasteful number, since it uses less digits than its factorization.

132210122002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9498352 (or 9498340 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 132210122002200 its reverse (2200221012231), we get a palindrome (134410343014431).

The spelling of 132210122002200 in words is "one hundred thirty-two trillion, two hundred ten billion, one hundred twenty-two million, two thousand, two hundred".