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21203130432132 = 223411171512317589
BaseRepresentation
bin1001101001000101111010…
…00011101011101010000100
32210001222222121122001020000
410310202331003223222010
510234343002342312012
6113032330022441300
74315606223661135
oct464427503535204
983058877561200
1021203130432132
116835219401120
122465385593230
13baa5a62c033c
14534346421c8c
1526b81e7cbddc
hex1348bd0eba84

21203130432132 has 240 divisors, whose sum is σ = 64449174303360. Its totient is φ = 6007188096000.

The previous prime is 21203130432131. The next prime is 21203130432173. The reversal of 21203130432132 is 23123403130212.

21203130432132 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 3 + 1 + 304 + 321 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21203130432096 and 21203130432105.

It is not an unprimeable number, because it can be changed into a prime (21203130432131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7989994 + ... + 10307582.

It is an arithmetic number, because the mean of its divisors is an integer number (268538226264).

Almost surely, 221203130432132 is an apocalyptic number.

21203130432132 is a gapful number since it is divisible by the number (22) 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 21203130432132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32224587151680).

21203130432132 is an abundant number, since it is smaller than the sum of its proper divisors (43246043871228).

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

21203130432132 is a wasteful number, since it uses less digits than its factorization.

21203130432132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317784 (or 2317773 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 21203130432132 its reverse (23123403130212), we get a palindrome (44326533562344).

The spelling of 21203130432132 in words is "twenty-one trillion, two hundred three billion, one hundred thirty million, four hundred thirty-two thousand, one hundred thirty-two".