Search a number
-
+
22143001000120 = 235711131673311509
BaseRepresentation
bin1010000100011100100011…
…01101010111100010111000
32220101211221210220211121121
411002032101231113202320
510400242331224000440
6115032204302515024
74443531130665520
oct502162155274270
986354853824547
1022143001000120
117067880885850
122597566295a74
13c480cb0818c0
14567a26b22680
15285ecc27534a
hex142391b578b8

22143001000120 has 256 divisors, whose sum is σ = 67294121932800. Its totient is φ = 6332662978560.

The previous prime is 22143001000103. The next prime is 22143001000121. The reversal of 22143001000120 is 2100010034122.

It is a junction number, because it is equal to n+sod(n) for n = 22143001000094 and 22143001000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22143001000121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5030926 + ... + 8342434.

It is an arithmetic number, because the mean of its divisors is an integer number (262867663800).

Almost surely, 222143001000120 is an apocalyptic number.

22143001000120 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 22143001000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33647060966400).

22143001000120 is an abundant number, since it is smaller than the sum of its proper divisors (45151120932680).

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

22143001000120 is a wasteful number, since it uses less digits than its factorization.

22143001000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311718 (or 3311714 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22143001000120 its reverse (2100010034122), we get a palindrome (24243011034242).

The spelling of 22143001000120 in words is "twenty-two trillion, one hundred forty-three billion, one million, one hundred twenty", and thus it is an aban number.