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2020011000 = 233537432237
BaseRepresentation
bin111100001100110…
…1110101111111000
312012210000012011020
41320121232233320
513114110323000
6532235502440
7101025544620
oct17031565770
95183005136
102020011000
11947275187
124845b7a20
132626627a7
141523c7880
15bc516ba0
hex7866ebf8

2020011000 has 256 divisors, whose sum is σ = 7373583360. Its totient is φ = 450777600.

The previous prime is 2020010987. The next prime is 2020011013. The reversal of 2020011000 is 1100202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2020010987) and next prime (2020011013).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2020011000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 901882 + ... + 904118.

It is an arithmetic number, because the mean of its divisors is an integer number (28803060).

Almost surely, 22020011000 is an apocalyptic number.

2020011000 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 2020011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686791680).

2020011000 is an abundant number, since it is smaller than the sum of its proper divisors (5353572360).

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

2020011000 is a wasteful number, since it uses less digits than its factorization.

2020011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2020011000 is about 44944.5324817157. The cubic root of 2020011000 is about 1264.1091594425.

Adding to 2020011000 its reverse (1100202), we get a palindrome (2021111202).

The spelling of 2020011000 in words is "two billion, twenty million, eleven thousand".