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2023001000 = 23532023001
BaseRepresentation
bin111100010010100…
…1000101110101000
312012222122002122222
41320211020232220
513120342013000
6532423533212
7101063140046
oct17045105650
95188562588
102023001000
11948a27659
124855ba208
1326316b717
14152965396
15bc907a85
hex78948ba8

2023001000 has 32 divisors (see below), whose sum is σ = 4733824680. Its totient is φ = 809200000.

The previous prime is 2023000979. The next prime is 2023001017. The reversal of 2023001000 is 1003202.

It can be written as a sum of positive squares in 4 ways, for example, as 1016461924 + 1006539076 = 31882^2 + 31726^2 .

It is a super-3 number, since 3×20230010003 (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1010501 + ... + 1012500.

Almost surely, 22023001000 is an apocalyptic number.

2023001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023001000 is an abundant number, since it is smaller than the sum of its proper divisors (2710823680).

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

2023001000 is a wasteful number, since it uses less digits than its factorization.

2023001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023022 (or 2023008 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2023001000 is about 44977.7834046988. The cubic root of 2023001000 is about 1264.7325591887.

Adding to 2023001000 its reverse (1003202), we get a palindrome (2024004202).

The spelling of 2023001000 in words is "two billion, twenty-three million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2023001 4046002 8092004 10115005 16184008 20230010 40460020 50575025 80920040 101150050 202300100 252875125 404600200 505750250 1011500500 2023001000