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132220331120 = 2451652754139
BaseRepresentation
bin111101100100011110…
…0100010010001110000
3110122021122212202022202
41323020330202101300
54131241401043440
6140424032322332
712360354161633
oct1731074422160
9418248782282
10132220331120
115108aa25829
12217603a33a8
13c611ba4227
146584319c1a
15368cc49615
hex1ec8f22470

132220331120 has 20 divisors (see below), whose sum is σ = 307412270040. Its totient is φ = 52888132416.

The previous prime is 132220331119. The next prime is 132220331123. The reversal of 132220331120 is 21133022231.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1322203311202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 132220331092 and 132220331101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220331123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 826376990 + ... + 826377149.

It is an arithmetic number, because the mean of its divisors is an integer number (15370613502).

Almost surely, 2132220331120 is an apocalyptic number.

132220331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132220331120 is an abundant number, since it is smaller than the sum of its proper divisors (175191938920).

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

132220331120 is a wasteful number, since it uses less digits than its factorization.

132220331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652754152 (or 1652754146 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 132220331120 its reverse (21133022231), we get a palindrome (153353353351).

The spelling of 132220331120 in words is "one hundred thirty-two billion, two hundred twenty million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1652754139 3305508278 6611016556 8263770695 13222033112 16527541390 26444066224 33055082780 66110165560 132220331120