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20210201000 = 23531110118191
BaseRepresentation
bin10010110100100111…
…110011000110101000
31221011111001120210222
4102310213303012220
5312342302413000
613141234425212
71313553605543
oct226447630650
957144046728
1020210201000
11863114a160
123b00432208
131ba10c4122
14d9a1a185a
157d443ca85
hex4b49f31a8

20210201000 has 128 divisors (see below), whose sum is σ = 52104798720. Its totient is φ = 7276000000.

The previous prime is 20210200987. The next prime is 20210201009. The reversal of 20210201000 is 10201202.

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

It is not an unprimeable number, because it can be changed into a prime (20210201009) 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 31 ways as a sum of consecutive naturals, for example, 1101905 + ... + 1120095.

It is an arithmetic number, because the mean of its divisors is an integer number (407068740).

Almost surely, 220210201000 is an apocalyptic number.

20210201000 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 20210201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26052399360).

20210201000 is an abundant number, since it is smaller than the sum of its proper divisors (31894597720).

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

20210201000 is a wasteful number, since it uses less digits than its factorization.

20210201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18324 (or 18310 counting only the distinct ones).

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

Adding to 20210201000 its reverse (10201202), we get a palindrome (20220402202).

The spelling of 20210201000 in words is "twenty billion, two hundred ten million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 18191 20200 22220 25250 27775 36382 44440 50500 55550 72764 90955 101000 111100 138875 145528 181910 200101 222200 277750 363820 400202 454775 555500 727640 800404 909550 1000505 1111000 1600808 1819100 1837291 2001010 2273875 3638200 3674582 4002020 4547750 5002525 7349164 8004040 9095500 9186455 10005050 14698328 18191000 18372910 20010100 20210201 25012625 36745820 40020200 40420402 45932275 50025250 73491640 80840804 91864550 100050500 101051005 161681608 183729100 200101000 202102010 229661375 367458200 404204020 459322750 505255025 808408040 918645500 1010510050 1837291000 2021020100 2526275125 4042040200 5052550250 10105100500 20210201000