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22001031132320 = 255716197434211
BaseRepresentation
bin1010000000010100000111…
…01001010011010010100000
32212220021111200120022020202
411000022003221103102200
510340431102432213240
6114443044551524332
74430344030013432
oct500120351232240
985807450508222
1022001031132320
117012648565899
122573b449896a8
13c378c4365776
14560bd9a40652
1528246d644315
hex140283a534a0

22001031132320 has 192 divisors, whose sum is σ = 52878275573760. Its totient is φ = 8648733004800.

The previous prime is 22001031132299. The next prime is 22001031132341. The reversal of 22001031132320 is 2323113010022.

22001031132320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (22001031132299) and next prime (22001031132341).

It is a super-2 number, since 2×220010311323202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22001031132292 and 22001031132301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5224655015 + ... + 5224659225.

It is an arithmetic number, because the mean of its divisors is an integer number (275407685280).

Almost surely, 222001031132320 is an apocalyptic number.

22001031132320 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 22001031132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26439137786880).

22001031132320 is an abundant number, since it is smaller than the sum of its proper divisors (30877244441440).

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

22001031132320 is a wasteful number, since it uses less digits than its factorization.

22001031132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5659 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22001031132320 its reverse (2323113010022), we get a palindrome (24324144142342).

The spelling of 22001031132320 in words is "twenty-two trillion, one billion, thirty-one million, one hundred thirty-two thousand, three hundred twenty".