Search a number
-
+
20200201000 = 235372412249
BaseRepresentation
bin10010110100000001…
…101001101100101000
31221010210020112101121
4102310001221230220
5312332222413000
613140240225024
71313402606200
oct226401515450
957123215347
1020200201000
118626539aa1
123ab900b174
131b9c002575
14d98b1b400
157d3614b1a
hex4b4069b28

20200201000 has 96 divisors (see below), whose sum is σ = 54985905000. Its totient is φ = 6925766400.

The previous prime is 20200200973. The next prime is 20200201009. The reversal of 20200201000 is 10200202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1025152324 + 19175048676 = 32018^2 + 138474^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (20200201009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157125 + ... + 255124.

Almost surely, 220200201000 is an apocalyptic number.

20200201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20200201000 is an abundant number, since it is smaller than the sum of its proper divisors (34785704000).

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

20200201000 is a wasteful number, since it uses less digits than its factorization.

20200201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412284 (or 412263 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 20200201000 its reverse (10200202), we get a palindrome (20210401202).

The spelling of 20200201000 in words is "twenty billion, two hundred million, two hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 412249 824498 1648996 2061245 2885743 3297992 4122490 5771486 8244980 10306225 11542972 14428715 16489960 20200201 20612450 23085944 28857430 40400402 41224900 51531125 57714860 72143575 80800804 82449800 101001005 103062250 115429720 144287150 161601608 202002010 206124500 288574300 360717875 404004020 412249000 505005025 577148600 721435750 808008040 1010010050 1442871500 2020020100 2525025125 2885743000 4040040200 5050050250 10100100500 20200201000