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2001121101 = 32731763827
BaseRepresentation
bin111011101000110…
…1010111101001101
312011110110111002100
41313101222331031
513044241333401
6530322545313
7100406151210
oct16721527515
95143414070
102001121101
119376429a1
1247a208239
1325b77a735
1414daab777
15baa34b86
hex7746af4d

2001121101 has 12 divisors (see below), whose sum is σ = 3303438112. Its totient is φ = 1143497736.

The previous prime is 2001121099. The next prime is 2001121117. The reversal of 2001121101 is 1011211002.

It is a happy number.

It is not a de Polignac number, because 2001121101 - 21 = 2001121099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001129101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15881851 + ... + 15881976.

Almost surely, 22001121101 is an apocalyptic number.

2001121101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2001121101 is a deficient number, since it is larger than the sum of its proper divisors (1302317011).

2001121101 is a wasteful number, since it uses less digits than its factorization.

2001121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31763840 (or 31763837 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2001121101 is about 44733.8920841905. The cubic root of 2001121101 is about 1260.1564223791.

Adding to 2001121101 its reverse (1011211002), we get a palindrome (3012332103).

The spelling of 2001121101 in words is "two billion, one million, one hundred twenty-one thousand, one hundred one".

Divisors: 1 3 7 9 21 63 31763827 95291481 222346789 285874443 667040367 2001121101