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21258312000 = 263533128573
BaseRepresentation
bin10011110011000110…
…000001100101000000
32000212112021010210220
4103303012001211000
5322014111441000
613433235223040
71351541446002
oct236306014500
960775233726
1021258312000
1190198434a2
124153447a80
13200a2a7953
141059474372
158464741a0
hex4f3181940

21258312000 has 224 divisors, whose sum is σ = 72461835264. Its totient is φ = 5485824000.

The previous prime is 21258311983. The next prime is 21258312041. The reversal of 21258312000 is 21385212.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729714 + ... + 758286.

It is an arithmetic number, because the mean of its divisors is an integer number (323490336).

Almost surely, 221258312000 is an apocalyptic number.

21258312000 is a gapful number since it is divisible by the number (20) 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 21258312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36230917632).

21258312000 is an abundant number, since it is smaller than the sum of its proper divisors (51203523264).

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

21258312000 is a wasteful number, since it uses less digits than its factorization.

21258312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28634 (or 28614 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 21258312000 its reverse (21385212), we get a palindrome (21279697212).

The spelling of 21258312000 in words is "twenty-one billion, two hundred fifty-eight million, three hundred twelve thousand".