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21322341040 = 245711131491787
BaseRepresentation
bin10011110110111010…
…010001101010110000
32001000222202011010211
4103312322101222300
5322132004403130
613443443433504
71353246623410
oct236672215260
961028664124
1021322341040
1190519a6460
124170985894
13201a635760
141063b80640
1584bdc0a2a
hex4f6e91ab0

21322341040 has 320 divisors, whose sum is σ = 67045708800. Its totient is φ = 6090117120.

The previous prime is 21322340993. The next prime is 21322341083. The reversal of 21322341040 is 4014322312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11931027 + ... + 11932813.

It is an arithmetic number, because the mean of its divisors is an integer number (209517840).

Almost surely, 221322341040 is an apocalyptic number.

21322341040 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 21322341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33522854400).

21322341040 is an abundant number, since it is smaller than the sum of its proper divisors (45723367760).

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

21322341040 is a wasteful number, since it uses less digits than its factorization.

21322341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 21322341040 its reverse (4014322312), we get a palindrome (25336663352).

The spelling of 21322341040 in words is "twenty-one billion, three hundred twenty-two million, three hundred forty-one thousand, forty".