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132130010421200 = 245211219283179509
BaseRepresentation
bin11110000010101111101010…
…010101011101011111010000
3122022211111122121101211120002
4132002233222111131133100
5114304304230131434300
61145003404441305132
736555035555436431
oct3602575225353720
9568744577354502
10132130010421200
1139112028295800
121299b8211951a8
135895a63bcc56c
14248b1ab66b488
1510420112975d5
hex782bea55d7d0

132130010421200 has 1080 divisors, whose sum is σ = 375510401733600. Its totient is φ = 44630971545600.

The previous prime is 132130010421191. The next prime is 132130010421221. The reversal of 132130010421200 is 2124010031231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 259587446546 + ... + 259587447054.

It is an arithmetic number, because the mean of its divisors is an integer number (347694816420).

Almost surely, 2132130010421200 is an apocalyptic number.

132130010421200 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 132130010421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187755200866800).

132130010421200 is an abundant number, since it is smaller than the sum of its proper divisors (243380391312400).

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

132130010421200 is a wasteful number, since it uses less digits than its factorization.

132130010421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132130010421200 its reverse (2124010031231), we get a palindrome (134254020452431).

The spelling of 132130010421200 in words is "one hundred thirty-two trillion, one hundred thirty billion, ten million, four hundred twenty-one thousand, two hundred".