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2001110020 = 2257313191181
BaseRepresentation
bin111011101000110…
…1000010000000100
312011110102220212221
41313101220100010
513044241010040
6530322422124
7100406104000
oct16721502004
95143386787
102001110020
11937635638
1247a201944
1325b775690
1414daa7700
15baa3174a
hex77468404

2001110020 has 192 divisors, whose sum is σ = 5560128000. Its totient is φ = 599477760.

The previous prime is 2001110017. The next prime is 2001110119. The reversal of 2001110020 is 200111002.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 2001109985 and 2001110012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1693830 + ... + 1695010.

It is an arithmetic number, because the mean of its divisors is an integer number (28959000).

Almost surely, 22001110020 is an apocalyptic number.

2001110020 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 2001110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780064000).

2001110020 is an abundant number, since it is smaller than the sum of its proper divisors (3559017980).

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

2001110020 is a wasteful number, since it uses less digits than its factorization.

2001110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1227 counting only the distinct ones).

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

The square root of 2001110020 is about 44733.7682293813. The cubic root of 2001110020 is about 1260.1540963798.

Adding to 2001110020 its reverse (200111002), we get a palindrome (2201221022).

The spelling of 2001110020 in words is "two billion, one million, one hundred ten thousand, twenty".