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21130232112 = 243211232151167
BaseRepresentation
bin10011101011011101…
…011100000100110000
32000112121021000020100
4103223131130010300
5321233314411422
613412422112400
71345425003153
oct235335340460
960477230210
1021130232112
118a63513150
12411857b700
131cb98b2132
141046453c9a
1583a0c47ac
hex4eb75c130

21130232112 has 360 divisors, whose sum is σ = 68291129088. Its totient is φ = 6047712000.

The previous prime is 21130232087. The next prime is 21130232141. The reversal of 21130232112 is 21123203112.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 126528253 + ... + 126528419.

Almost surely, 221130232112 is an apocalyptic number.

21130232112 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 21130232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34145564544).

21130232112 is an abundant number, since it is smaller than the sum of its proper divisors (47160896976).

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

21130232112 is a wasteful number, since it uses less digits than its factorization.

21130232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 357 counting only the distinct ones).

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

Adding to 21130232112 its reverse (21123203112), we get a palindrome (42253435224).

The spelling of 21130232112 in words is "twenty-one billion, one hundred thirty million, two hundred thirty-two thousand, one hundred twelve".