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2001202112 = 267134361131
BaseRepresentation
bin111011101000111…
…1110101111000000
312011110121121012202
41313101332233000
513044301431422
6530324412332
7100406636330
oct16721765700
95143547182
102001202112
11937698848
1247a2470a8
1325b7a8580
1414dacd0c0
15baa4db92
hex7747ebc0

2001202112 has 224 divisors, whose sum is σ = 5122005504. Its totient is φ = 754790400.

The previous prime is 2001202111. The next prime is 2001202153. The reversal of 2001202112 is 2112021002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 2001202093 and 2001202102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001202111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15276287 + ... + 15276417.

It is an arithmetic number, because the mean of its divisors is an integer number (22866096).

Almost surely, 22001202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561002752).

2001202112 is an abundant number, since it is smaller than the sum of its proper divisors (3120803392).

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

2001202112 is a wasteful number, since it uses less digits than its factorization.

2001202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2001202112 is about 44734.7975517941. The cubic root of 2001202112 is about 1260.1734270395.

Adding to 2001202112 its reverse (2112021002), we get a palindrome (4113223114).

The spelling of 2001202112 in words is "two billion, one million, two hundred two thousand, one hundred twelve".