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1022241049120 = 255192337731867
BaseRepresentation
bin11101110000000100101…
…00001000101000100000
310121201120201212210012001
432320002110020220200
5113222022202032440
62101335553213344
7133566041356564
oct16700224105040
93551521783161
101022241049120
11364591471325
1214614a561254
1375521048035
14376962136a4
151b8ce10bb9a
hexee02508a20

1022241049120 has 192 divisors, whose sum is σ = 2557734641280. Its totient is φ = 385007689728.

The previous prime is 1022241049073. The next prime is 1022241049133. The reversal of 1022241049120 is 219401422201.

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, 547530427 + ... + 547532293.

It is an arithmetic number, because the mean of its divisors is an integer number (13321534590).

Almost surely, 21022241049120 is an apocalyptic number.

1022241049120 is a gapful number since it is divisible by the number (10) 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 1022241049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278867320640).

1022241049120 is an abundant number, since it is smaller than the sum of its proper divisors (1535493592160).

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

1022241049120 is a wasteful number, since it uses less digits than its factorization.

1022241049120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 1022 and 241049120, that added together give a palindrome (241050142).

The spelling of 1022241049120 in words is "one trillion, twenty-two billion, two hundred forty-one million, forty-nine thousand, one hundred twenty".