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20102002000 = 245310051001
BaseRepresentation
bin10010101110001011…
…000011010101010000
31220212221110111200121
4102232023003111100
5312132103031000
613122411400024
71311101124553
oct225613032520
956787414617
1020102002000
1185860686a3
123a90153014
131b8486c752
14d89a7869a
157c9bb8b1a
hex4ae2c3550

20102002000 has 40 divisors (see below), whose sum is σ = 48606645672. Its totient is φ = 8040800000.

The previous prime is 20102001989. The next prime is 20102002003. The reversal of 20102002000 is 20020102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2645250624 + 17456751376 = 51432^2 + 132124^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102002003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5023501 + ... + 5027500.

Almost surely, 220102002000 is an apocalyptic number.

20102002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102002000 is an abundant number, since it is smaller than the sum of its proper divisors (28504643672).

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

20102002000 is a wasteful number, since it uses less digits than its factorization.

20102002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10051024 (or 10051008 counting only the distinct ones).

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

Adding to 20102002000 its reverse (20020102), we get a palindrome (20122022102).

The spelling of 20102002000 in words is "twenty billion, one hundred two million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10051001 20102002 40204004 50255005 80408008 100510010 160816016 201020020 251275025 402040040 502550050 804080080 1005100100 1256375125 2010200200 2512750250 4020400400 5025500500 10051001000 20102002000