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132023120004 = 223210136309989
BaseRepresentation
bin111101011110100110…
…0001111000010000100
3110121202220210101112100
41322331030033002010
54130340404320004
6140352305352100
712352441001256
oct1727514170204
9417686711470
10132023120004
1150a99678136
1221706338630
13c5b0085469
146566061cd6
15367a791739
hex1ebd30f084

132023120004 has 36 divisors (see below), whose sum is σ = 337029327180. Its totient is φ = 43571985600.

The previous prime is 132023119993. The next prime is 132023120039. The reversal of 132023120004 is 400021320231.

It can be written as a sum of positive squares in 2 ways, for example, as 122393623104 + 9629496900 = 349848^2 + 98130^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18151359 + ... + 18158630.

It is an arithmetic number, because the mean of its divisors is an integer number (9361925755).

Almost surely, 2132023120004 is an apocalyptic number.

It is an amenable number.

132023120004 is an abundant number, since it is smaller than the sum of its proper divisors (205006207176).

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

132023120004 is a wasteful number, since it uses less digits than its factorization.

132023120004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36310100 (or 36310095 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132023120004 its reverse (400021320231), we get a palindrome (532044440235).

The spelling of 132023120004 in words is "one hundred thirty-two billion, twenty-three million, one hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 36309989 72619978 108929967 145239956 217859934 326789901 435719868 653579802 1307159604 3667308889 7334617778 11001926667 14669235556 22003853334 33005780001 44007706668 66011560002 132023120004