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20357201000 = 235320357201
BaseRepresentation
bin10010111101011000…
…100011110001101000
31221112201122221220102
4102331120203301220
5313142420413000
613204005244532
71320320232143
oct227530436150
957481587812
1020357201000
1186a7122464
123b41703748
131bc56b2686
14db190905a
157e22c83d5
hex4bd623c68

20357201000 has 32 divisors (see below), whose sum is σ = 47635852680. Its totient is φ = 8142880000.

The previous prime is 20357200961. The next prime is 20357201003. The reversal of 20357201000 is 10275302.

It can be written as a sum of positive squares in 4 ways, for example, as 3147434404 + 17209766596 = 56102^2 + 131186^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20357201003) 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 7 ways as a sum of consecutive naturals, for example, 10177601 + ... + 10179600.

Almost surely, 220357201000 is an apocalyptic number.

20357201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20357201000 is an abundant number, since it is smaller than the sum of its proper divisors (27278651680).

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

20357201000 is a wasteful number, since it uses less digits than its factorization.

20357201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20357222 (or 20357208 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

Adding to 20357201000 its reverse (10275302), we get a palindrome (20367476302).

The spelling of 20357201000 in words is "twenty billion, three hundred fifty-seven million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 20357201 40714402 81428804 101786005 162857608 203572010 407144020 508930025 814288040 1017860050 2035720100 2544650125 4071440200 5089300250 10178600500 20357201000