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1022202201000 = 2335341471511171
BaseRepresentation
bin11101101111111111111…
…11111100001110101000
310121201111000210002120210
432313333333330032220
5113221432230413000
62101332044421120
7133565060230011
oct16677777741650
93551430702523
101022202201000
11364571548142
121461395477a0
1375515c95896
1437690dc0008
151b8ca9d6350
hexedffffc3a8

1022202201000 has 512 divisors, whose sum is σ = 3361534525440. Its totient is φ = 258336000000.

The previous prime is 1022202200977. The next prime is 1022202201043. The reversal of 1022202201000 is 1022022201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 872930415 + ... + 872931585.

It is an arithmetic number, because the mean of its divisors is an integer number (6565497120).

Almost surely, 21022202201000 is an apocalyptic number.

1022202201000 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 1022202201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680767262720).

1022202201000 is an abundant number, since it is smaller than the sum of its proper divisors (2339332324440).

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

1022202201000 is a wasteful number, since it uses less digits than its factorization.

1022202201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022202201000 its reverse (1022022201), we get a palindrome (1023224223201).

The spelling of 1022202201000 in words is "one trillion, twenty-two billion, two hundred two million, two hundred one thousand".