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21222053130432 = 26371117530315923
BaseRepresentation
bin1001101001101001001001…
…11100000011000011000000
32210010210211101000201100210
410310310210330003003000
510240200231100133212
6113045135425514120
74320146155156560
oct464644474030300
983123741021323
1021222053130432
116842249809460
122468b867a2940
13bac30073393b
1453521d5d6da0
1526c07ab9753c
hex134d24f030c0

21222053130432 has 448 divisors, whose sum is σ = 74141801570304. Its totient is φ = 5186669199360.

The previous prime is 21222053130389. The next prime is 21222053130493. The reversal of 21222053130432 is 23403135022212.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 21222053130432.

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 63 ways as a sum of consecutive naturals, for example, 1332784423 + ... + 1332800345.

Almost surely, 221222053130432 is an apocalyptic number.

21222053130432 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 21222053130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37070900785152).

21222053130432 is an abundant number, since it is smaller than the sum of its proper divisors (52919748439872).

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

21222053130432 is a wasteful number, since it uses less digits than its factorization.

21222053130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21276 (or 21266 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 21222053130432 its reverse (23403135022212), we get a palindrome (44625188152644).

The spelling of 21222053130432 in words is "twenty-one trillion, two hundred twenty-two billion, fifty-three million, one hundred thirty thousand, four hundred thirty-two".