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1022220103320 = 23325132937203563
BaseRepresentation
bin11101110000000010001…
…00001110111010011000
310121201112021110121221200
432320001010032322120
5113222001321301240
62101333524234200
7133565365341243
oct16700104167230
93551467417850
101022220103320
11364580665449
1214614353b960
13755198c3280
143769352025a
151b8cc370930
hexee0110ee98

1022220103320 has 384 divisors, whose sum is σ = 3801191284800. Its totient is φ = 236379451392.

The previous prime is 1022220103279. The next prime is 1022220103351. The reversal of 1022220103320 is 233010222201.

1022220103320 is a `hidden beast` number, since 1 + 0 + 22 + 220 + 103 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1022220103293 and 1022220103302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4919859 + ... + 5123421.

Almost surely, 21022220103320 is an apocalyptic number.

1022220103320 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 1022220103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900595642400).

1022220103320 is an abundant number, since it is smaller than the sum of its proper divisors (2778971181480).

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

1022220103320 is a wasteful number, since it uses less digits than its factorization.

1022220103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203659 (or 203652 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1022220103320 its reverse (233010222201), we get a palindrome (1255230325521).

The spelling of 1022220103320 in words is "one trillion, twenty-two billion, two hundred twenty million, one hundred three thousand, three hundred twenty".