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132211022020 = 2257115910114407
BaseRepresentation
bin111101100100001100…
…1000001100011000100
3110122021000100210122021
41323020121001203010
54131232010201040
6140423101012524
712360212100460
oct1731031014304
9418230323567
10132211022020
1151085747760
1221759254144
13c60cc94c9c
146582db54a0
15368c00b24a
hex1ec86418c4

132211022020 has 192 divisors, whose sum is σ = 355529502720. Its totient is φ = 40106304000.

The previous prime is 132211021991. The next prime is 132211022029. The reversal of 132211022020 is 20220112231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132211021985 and 132211022003.

It is not an unprimeable number, because it can be changed into a prime (132211022029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9169657 + ... + 9184063.

It is an arithmetic number, because the mean of its divisors is an integer number (1851716160).

Almost surely, 2132211022020 is an apocalyptic number.

132211022020 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 132211022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177764751360).

132211022020 is an abundant number, since it is smaller than the sum of its proper divisors (223318480700).

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

132211022020 is a wasteful number, since it uses less digits than its factorization.

132211022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14594 (or 14592 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 132211022020 its reverse (20220112231), we get a palindrome (152431134251).

The spelling of 132211022020 in words is "one hundred thirty-two billion, two hundred eleven million, twenty-two thousand, twenty".