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1001322020 = 225237329819
BaseRepresentation
bin111011101011101…
…111011000100100
32120210011102120202
4323223233120210
54022314301040
6243205450032
733546045116
oct7353573044
92523142522
101001322020
11474247066
1223b410918
1312c5b0b4a
1496db33b6
155cd93015
hex3baef624

1001322020 has 48 divisors (see below), whose sum is σ = 2224333440. Its totient is φ = 377853696.

The previous prime is 1001321999. The next prime is 1001322029. The reversal of 1001322020 is 202231001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1001321992 and 1001322010.

It is not an unprimeable number, because it can be changed into a prime (1001322029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18671 + ... + 48489.

It is an arithmetic number, because the mean of its divisors is an integer number (46340280).

Almost surely, 21001322020 is an apocalyptic number.

1001322020 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 1001322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112166720).

1001322020 is an abundant number, since it is smaller than the sum of its proper divisors (1223011420).

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

1001322020 is a wasteful number, since it uses less digits than its factorization.

1001322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29924 (or 29922 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1001322020 is about 31643.6726692715. The cubic root of 1001322020 is about 1000.4404792828.

Adding to 1001322020 its reverse (202231001), we get a palindrome (1203553021).

The spelling of 1001322020 in words is "one billion, one million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 73 92 115 146 230 292 365 460 730 1460 1679 3358 6716 8395 16790 29819 33580 59638 119276 149095 298190 596380 685837 1371674 2176787 2743348 3429185 4353574 6858370 8707148 10883935 13716740 21767870 43535740 50066101 100132202 200264404 250330505 500661010 1001322020