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21132455423112 = 233211831013182917
BaseRepresentation
bin1001100111000010010000…
…11111111010110010001000
32202211020120011010121001100
410303201020133322302020
510232213232042014422
6112540041020021400
74310524642214145
oct463411037726210
982736504117040
1021132455423112
116808251189860
122453740691860
13ba3a22076687
14530b5dcd93cc
15269a84cd37ac
hex1338487fac88

21132455423112 has 192 divisors, whose sum is σ = 63814704932160. Its totient is φ = 6263978688000.

The previous prime is 21132455423083. The next prime is 21132455423119.

21132455423112 is a `hidden beast` number, since 2 + 1 + 1 + 32 + 45 + 542 + 31 + 12 = 666.

21132455423112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21132455423119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5047878 + ... + 8230794.

It is an arithmetic number, because the mean of its divisors is an integer number (332368254855).

Almost surely, 221132455423112 is an apocalyptic number.

21132455423112 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 21132455423112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31907352466080).

21132455423112 is an abundant number, since it is smaller than the sum of its proper divisors (42682249509048).

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

21132455423112 is a wasteful number, since it uses less digits than its factorization.

21132455423112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183124 (or 3183117 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 2113245 and 5423112, that added together give a palindrome (7536357).

The spelling of 21132455423112 in words is "twenty-one trillion, one hundred thirty-two billion, four hundred fifty-five million, four hundred twenty-three thousand, one hundred twelve".