Search a number
-
+
132213041421120 = 263251119332159023
BaseRepresentation
bin11110000011111100111111…
…010111100101101101000000
3122100010102222011212122210100
4132003330333113211231000
5114312134302100433440
61145105455512002400
736564035263335462
oct3603747727455500
9570112864778710
10132213041421120
11391442661059a0
12129b3934090400
1358a0836c80a4a
142491206b9c132
1510442708d0230
hex783f3f5e5b40

132213041421120 has 336 divisors, whose sum is σ = 496356266794752. Its totient is φ = 32035050270720.

The previous prime is 132213041421089. The next prime is 132213041421133. The reversal of 132213041421120 is 21124140312231.

132213041421120 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 30 + 414 + 211 + 2 + 0 = 666.

It is a super-3 number, since 3×1322130414211203 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60157929 + ... + 62316951.

It is an arithmetic number, because the mean of its divisors is an integer number (1477250794032).

Almost surely, 2132213041421120 is an apocalyptic number.

132213041421120 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 132213041421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248178133397376).

132213041421120 is an abundant number, since it is smaller than the sum of its proper divisors (364143225373632).

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

132213041421120 is a wasteful number, since it uses less digits than its factorization.

132213041421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160990 (or 2160977 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 132213041421120 its reverse (21124140312231), we get a palindrome (153337181733351).

The spelling of 132213041421120 in words is "one hundred thirty-two trillion, two hundred thirteen billion, forty-one million, four hundred twenty-one thousand, one hundred twenty".