Search a number
-
+
20201210000 = 245417311677
BaseRepresentation
bin10010110100000101…
…100000000010010000
31221010212010210110222
4102310011200002100
5312333002210000
613140314012212
71313414310656
oct226405400220
957125123428
1020201210000
118627069084
123ab9417068
131b9c2968ca
14d98d00dd6
157d3763a85
hex4b4160090

20201210000 has 100 divisors (see below), whose sum is σ = 49196074092. Its totient is φ = 8033088000.

The previous prime is 20201209981. The next prime is 20201210033. The reversal of 20201210000 is 1210202.

It can be written as a sum of positive squares in 10 ways, for example, as 7050625024 + 13150584976 = 83968^2 + 114676^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20201210000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1724162 + ... + 1735838.

Almost surely, 220201210000 is an apocalyptic number.

20201210000 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 20201210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24598037046).

20201210000 is an abundant number, since it is smaller than the sum of its proper divisors (28994864092).

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

20201210000 is a wasteful number, since it uses less digits than its factorization.

20201210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11878 (or 11857 counting only the distinct ones).

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

Adding to 20201210000 its reverse (1210202), we get a palindrome (20202420202).

The spelling of 20201210000 in words is "twenty billion, two hundred one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 173 200 250 346 400 500 625 692 865 1000 1250 1384 1730 2000 2500 2768 3460 4325 5000 6920 8650 10000 11677 13840 17300 21625 23354 34600 43250 46708 58385 69200 86500 93416 108125 116770 173000 186832 216250 233540 291925 346000 432500 467080 583850 865000 934160 1167700 1459625 1730000 2020121 2335400 2919250 4040242 4670800 5838500 7298125 8080484 10100605 11677000 14596250 16160968 20201210 23354000 29192500 32321936 40402420 50503025 58385000 80804840 101006050 116770000 161609680 202012100 252515125 404024200 505030250 808048400 1010060500 1262575625 2020121000 2525151250 4040242000 5050302500 10100605000 20201210000