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21342410232 = 233111317735011
BaseRepresentation
bin10011111000000110…
…110101010111111000
32001002101111202220020
4103320012311113320
5322202124111412
613445441530440
71353612331233
oct237006652770
961071452806
1021342410232
119062263770
124177643a20
132021841510
1410666c641a
1584da3718c
hex4f81b55f8

21342410232 has 256 divisors, whose sum is σ = 67293918720. Its totient is φ = 5540659200.

The previous prime is 21342410179. The next prime is 21342410233. The reversal of 21342410232 is 23201424312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342410233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4256607 + ... + 4261617.

It is an arithmetic number, because the mean of its divisors is an integer number (262866870).

Almost surely, 221342410232 is an apocalyptic number.

21342410232 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 21342410232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33646959360).

21342410232 is an abundant number, since it is smaller than the sum of its proper divisors (45951508488).

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

21342410232 is a wasteful number, since it uses less digits than its factorization.

21342410232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21342410232 its reverse (23201424312), we get a palindrome (44543834544).

The spelling of 21342410232 in words is "twenty-one billion, three hundred forty-two million, four hundred ten thousand, two hundred thirty-two".