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132321204020 = 22516229407669
BaseRepresentation
bin111101100111011110…
…1010101011100110100
3110122112200200121221002
41323032331111130310
54131443212012040
6140442034342432
712363020451005
oct1731675253464
9418480617832
10132321204020
1151131963065
122178a12aa18
13c629a62135
1465938971ac
153696a22a15
hex1ecef55734

132321204020 has 24 divisors (see below), whose sum is σ = 277892332200. Its totient is φ = 52925090432.

The previous prime is 132321204017. The next prime is 132321204073. The reversal of 132321204020 is 20402123231.

It can be written as a sum of positive squares in 4 ways, for example, as 92412352036 + 39908851984 = 303994^2 + 199772^2 .

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 = 132321203983 and 132321204001.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 120746 + ... + 528414.

It is an arithmetic number, because the mean of its divisors is an integer number (11578847175).

Almost surely, 2132321204020 is an apocalyptic number.

132321204020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132321204020 is an abundant number, since it is smaller than the sum of its proper divisors (145571128180).

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

132321204020 is a wasteful number, since it uses less digits than its factorization.

132321204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423907 (or 423905 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 132321204020 its reverse (20402123231), we get a palindrome (152723327251).

The spelling of 132321204020 in words is "one hundred thirty-two billion, three hundred twenty-one million, two hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 16229 32458 64916 81145 162290 324580 407669 815338 1630676 2038345 4076690 8153380 6616060201 13232120402 26464240804 33080301005 66160602010 132321204020