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1001221020 = 223351854113
BaseRepresentation
bin111011101011010…
…110101110011100
32120202222022001000
4323223112232130
54022303033040
6243203350300
733545144502
oct7353265634
92522868030
101001221020
11474188198
1223b382390
1312c576b97
1496d88672
155cd73130
hex3bad6b9c

1001221020 has 48 divisors (see below), whose sum is σ = 3114911520. Its totient is φ = 266992128.

The previous prime is 1001220991. The next prime is 1001221021. The reversal of 1001221020 is 201221001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001220993 and 1001221011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001221021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926517 + ... + 927596.

It is an arithmetic number, because the mean of its divisors is an integer number (64893990).

Almost surely, 21001221020 is an apocalyptic number.

1001221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001221020 is an abundant number, since it is smaller than the sum of its proper divisors (2113690500).

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

1001221020 is a wasteful number, since it uses less digits than its factorization.

1001221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854131 (or 1854123 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1001221020 is about 31642.0767333625. The cubic root of 1001221020 is about 1000.4068411245.

Adding to 1001221020 its reverse (201221001), we get a palindrome (1202442021).

The spelling of 1001221020 in words is "one billion, one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1854113 3708226 5562339 7416452 9270565 11124678 16687017 18541130 22249356 27811695 33374034 37082260 50061051 55623390 66748068 83435085 100122102 111246780 166870170 200244204 250305255 333740340 500610510 1001221020