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2020121000 = 235317311677
BaseRepresentation
bin111100001101000…
…1001100110101000
312012210012210001022
41320122021212220
513114122333000
6532242112012
7101026513412
oct17032114650
95183183038
102020121000
1194733a897
1248464b608
132626a0891
141524159b2
15bc539585
hex786899a8

2020121000 has 64 divisors (see below), whose sum is σ = 4754814480. Its totient is φ = 803308800.

The previous prime is 2020120997. The next prime is 2020121017. The reversal of 2020121000 is 1210202.

It can be written as a sum of positive squares in 8 ways, for example, as 676312036 + 1343808964 = 26006^2 + 36658^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167162 + ... + 178838.

Almost surely, 22020121000 is an apocalyptic number.

2020121000 is a gapful number since it is divisible by the number (20) 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 2020121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377407240).

2020121000 is an abundant number, since it is smaller than the sum of its proper divisors (2734693480).

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

2020121000 is a wasteful number, since it uses less digits than its factorization.

2020121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11871 (or 11857 counting only the distinct ones).

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

The square root of 2020121000 is about 44945.7561956632. The cubic root of 2020121000 is about 1264.1321047769.

Adding to 2020121000 its reverse (1210202), we get a palindrome (2021331202).

The spelling of 2020121000 in words is "two billion, twenty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 173 200 250 346 500 692 865 1000 1384 1730 3460 4325 6920 8650 11677 17300 21625 23354 34600 43250 46708 58385 86500 93416 116770 173000 233540 291925 467080 583850 1167700 1459625 2020121 2335400 2919250 4040242 5838500 8080484 10100605 11677000 16160968 20201210 40402420 50503025 80804840 101006050 202012100 252515125 404024200 505030250 1010060500 2020121000