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2001022120 = 235493310141
BaseRepresentation
bin111011101000101…
…0010110010101000
312011110021110022101
41313101102302220
513044230201440
6530320503144
7100405256506
oct16721226250
95143243271
102001022120
11937585599
1247a17aab4
1325b744676
1414da83676
15baa1569a
hex77452ca8

2001022120 has 32 divisors (see below), whose sum is σ = 4503656520. Its totient is φ = 800167680.

The previous prime is 2001022117. The next prime is 2001022129. The reversal of 2001022120 is 212201002.

It can be written as a sum of positive squares in 4 ways, for example, as 1104498756 + 896523364 = 33234^2 + 29942^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2001022097 and 2001022106.

It is not an unprimeable number, because it can be changed into a prime (2001022129) 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, 192250 + ... + 202390.

Almost surely, 22001022120 is an apocalyptic number.

2001022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001022120 is an abundant number, since it is smaller than the sum of its proper divisors (2502634400).

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

2001022120 is a wasteful number, since it uses less digits than its factorization.

2001022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15085 (or 15081 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2001022120 is about 44732.7857393210. The cubic root of 2001022120 is about 1260.1356450926.

Adding to 2001022120 its reverse (212201002), we get a palindrome (2213223122).

The spelling of 2001022120 in words is "two billion, one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 4933 9866 10141 19732 20282 24665 39464 40564 49330 50705 81128 98660 101410 197320 202820 405640 50025553 100051106 200102212 250127765 400204424 500255530 1000511060 2001022120