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20211001000 = 235320211001
BaseRepresentation
bin10010110100101010…
…110110011010101000
31221011112120020012121
4102310222312122220
5312343004013000
613141303521024
71313563450111
oct226452663250
957145506177
1020211001000
118631646213
123b00759174
131ba13142b8
14d9a32d208
157d4549b1a
hex4b4ab66a8

20211001000 has 32 divisors (see below), whose sum is σ = 47293744680. Its totient is φ = 8084400000.

The previous prime is 20211000991. The next prime is 20211001003. The reversal of 20211001000 is 10011202.

It can be written as a sum of positive squares in 4 ways, for example, as 8858950884 + 11352050116 = 94122^2 + 106546^2 .

It is a super-2 number, since 2×202110010002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20211001003) 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, 10104501 + ... + 10106500.

Almost surely, 220211001000 is an apocalyptic number.

20211001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211001000 is an abundant number, since it is smaller than the sum of its proper divisors (27082743680).

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

20211001000 is a wasteful number, since it uses less digits than its factorization.

20211001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20211022 (or 20211008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20211001000 its reverse (10011202), we get a palindrome (20221012202).

The spelling of 20211001000 in words is "twenty billion, two hundred eleven million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 20211001 40422002 80844004 101055005 161688008 202110010 404220020 505275025 808440040 1010550050 2021100100 2526375125 4042200200 5052750250 10105500500 20211001000