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10022042445030 = 23257211853242201
BaseRepresentation
bin1001000111010111000001…
…0001111010010011100110
31022111002122100222110221100
42101311300101322103212
52303200120331220110
633152021315100530
72053032361133400
oct221656021722346
938432570873840
1010022042445030
113214362760240
12115a4098a1746
135790c7a1bbc5
142690d879bb70
15125a6a157bc0
hex91d7047a4e6

10022042445030 has 288 divisors, whose sum is σ = 33106064348448. Its totient is φ = 2080052352000.

The previous prime is 10022042445013. The next prime is 10022042445043. The reversal of 10022042445030 is 3054424022001.

10022042445030 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 204 + 2 + 4 + 450 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10022042444985 and 10022042445003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41257930 + ... + 41500130.

It is an arithmetic number, because the mean of its divisors is an integer number (114951612321).

Almost surely, 210022042445030 is an apocalyptic number.

10022042445030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022042445030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16553032174224).

10022042445030 is an abundant number, since it is smaller than the sum of its proper divisors (23084021903418).

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

10022042445030 is a wasteful number, since it uses less digits than its factorization.

10022042445030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243092 (or 243082 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10022042445030 its reverse (3054424022001), we get a palindrome (13076466467031).

The spelling of 10022042445030 in words is "ten trillion, twenty-two billion, forty-two million, four hundred forty-five thousand, thirty".