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1001220222100 = 225271430314603
BaseRepresentation
bin11101001000111010110…
…00000010110010010100
310112201022202111010112011
432210131120002302110
5112400444334101400
62043542040034004
7132223112316610
oct16443530026224
93481282433464
101001220222100
1135668479390a
12142062762904
1373551020557
143666051c340
151b09d9488ba
hexe91d602c94

1001220222100 has 36 divisors (see below), whose sum is σ = 2483026152544. Its totient is φ = 343275504480.

The previous prime is 1001220222091. The next prime is 1001220222103. The reversal of 1001220222100 is 12220221001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001220222103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 715156602 + ... + 715158001.

Almost surely, 21001220222100 is an apocalyptic number.

1001220222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001220222100 is an abundant number, since it is smaller than the sum of its proper divisors (1481805930444).

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

1001220222100 is a wasteful number, since it uses less digits than its factorization.

1001220222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430314624 (or 1430314617 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1001220222100 its reverse (12220221001), we get a palindrome (1013440443101).

The spelling of 1001220222100 in words is "one trillion, one billion, two hundred twenty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1430314603 2860629206 5721258412 7151573015 10012202221 14303146030 20024404442 28606292060 35757865075 40048808884 50061011105 71515730150 100122022210 143031460300 200244044420 250305055525 500610111050 1001220222100