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132200011310220 = 2232571973469153529
BaseRepresentation
bin11110000011110000110110…
…101101101010010010001100
3122100002012100002102102221100
4132003300312231222102030
5114311431110343411340
61145055502523303100
736563064343251120
oct3603606655522214
9570065302372840
10132200011310220
1139139789a347a7
12129b12b837aa90
13589c53b598759
14249072c435580
151043c5b9d1830
hex783c36b6a48c

132200011310220 has 288 divisors, whose sum is σ = 460755517622400. Its totient is φ = 30054896750592.

The previous prime is 132200011310209. The next prime is 132200011310251. The reversal of 132200011310220 is 22013110002231.

132200011310220 is a `hidden beast` number, since 1 + 322 + 0 + 0 + 0 + 11 + 310 + 2 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132200011310193 and 132200011310202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 860998416 + ... + 861151944.

It is an arithmetic number, because the mean of its divisors is an integer number (1599845547300).

Almost surely, 2132200011310220 is an apocalyptic number.

132200011310220 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 132200011310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230377758811200).

132200011310220 is an abundant number, since it is smaller than the sum of its proper divisors (328555506312180).

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

132200011310220 is a wasteful number, since it uses less digits than its factorization.

132200011310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157217 (or 157212 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132200011310220 its reverse (22013110002231), we get a palindrome (154213121312451).

The spelling of 132200011310220 in words is "one hundred thirty-two trillion, two hundred billion, eleven million, three hundred ten thousand, two hundred twenty".