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1002222101000 = 23531002222101
BaseRepresentation
bin11101001010110010001…
…01111010001000001000
310112210220120200212000002
432211121011322020020
5112410022324213000
62044225305502132
7132256666204421
oct16453105721010
93483816625002
101002222101000
113570492802aa
121422a21a1948
13736807679c3
14367175d8648
151b10b89b8d5
hexe95917a208

1002222101000 has 32 divisors (see below), whose sum is σ = 2345199718680. Its totient is φ = 400888840000.

The previous prime is 1002222100991. The next prime is 1002222101047. The reversal of 1002222101000 is 1012222001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 58483683556 + 943738417444 = 241834^2 + 971462^2 .

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 7 ways as a sum of consecutive naturals, for example, 501110051 + ... + 501112050.

Almost surely, 21002222101000 is an apocalyptic number.

1002222101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002222101000 is an abundant number, since it is smaller than the sum of its proper divisors (1342977617680).

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

1002222101000 is a wasteful number, since it uses less digits than its factorization.

1002222101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002222122 (or 1002222108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002222101000 its reverse (1012222001), we get a palindrome (1003234323001).

The spelling of 1002222101000 in words is "one trillion, two billion, two hundred twenty-two million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1002222101 2004444202 4008888404 5011110505 8017776808 10022221010 20044442020 25055552525 40088884040 50111105050 100222210100 125277762625 200444420200 250555525250 501111050500 1002222101000