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22134340410000 = 243547138107817
BaseRepresentation
bin1010000100001100011010…
…11111110101101010010000
32220101000121020111021102120
411002012031133311222100
510400122112121110000
6115024213044214240
74443103406123610
oct502061537655220
986330536437376
1022134340410000
117064137136255
12259594999a380
13c4734aa1a470
1456744481ca40
15285b71c8e6a0
hex14218d7f5a90

22134340410000 has 400 divisors, whose sum is σ = 87941674955904. Its totient is φ = 4670102016000.

The previous prime is 22134340409971. The next prime is 22134340410011. The reversal of 22134340410000 is 1404343122.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1323909 + ... + 6783908.

Almost surely, 222134340410000 is an apocalyptic number.

22134340410000 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 22134340410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43970837477952).

22134340410000 is an abundant number, since it is smaller than the sum of its proper divisors (65807334545904).

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

22134340410000 is a wasteful number, since it uses less digits than its factorization.

22134340410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8107868 (or 8107847 counting only the distinct ones).

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

Adding to 22134340410000 its reverse (1404343122), we get a palindrome (22135744753122).

The spelling of 22134340410000 in words is "twenty-two trillion, one hundred thirty-four billion, three hundred forty million, four hundred ten thousand".