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132215143061160 = 2332523167170955949
BaseRepresentation
bin11110000011111110111100…
…101000101101011010101000
3122100010122101122111000221100
4132003332330220231122220
5114312203103110424120
61145110444225241400
736564141333103065
oct3603767450553250
9570118348430840
10132215143061160
1139145144464195
12129b421ba93260
1358a0ab04c4233
142491365d53c6c
15104434516d490
hex783fbca2d6a8

132215143061160 has 384 divisors, whose sum is σ = 451338713280000. Its totient is φ = 33502285436928.

The previous prime is 132215143061147. The next prime is 132215143061167. The reversal of 132215143061160 is 61160341512231.

132215143061160 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 5 + 1 + 4 + 30 + 611 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132215143061167) 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, 2363108866 + ... + 2363164814.

It is an arithmetic number, because the mean of its divisors is an integer number (1175361232500).

Almost surely, 2132215143061160 is an apocalyptic number.

132215143061160 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 132215143061160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225669356640000).

132215143061160 is an abundant number, since it is smaller than the sum of its proper divisors (319123570218840).

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

132215143061160 is a wasteful number, since it uses less digits than its factorization.

132215143061160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57865 (or 57858 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 132215143061160 its reverse (61160341512231), we get a palindrome (193375484573391).

The spelling of 132215143061160 in words is "one hundred thirty-two trillion, two hundred fifteen billion, one hundred forty-three million, sixty-one thousand, one hundred sixty".