Search a number
-
+
2111120001 = 321912345731
BaseRepresentation
bin111110111010101…
…0010001010000001
312110010110000012200
41331311102022001
513310421320001
6545252343413
7103213136544
oct17565221201
95403400180
102111120001
11993743781
124ab014b69
132784b2443
1416054285b
15c5512086
hex7dd52281

2111120001 has 12 divisors (see below), whose sum is σ = 3209890320. Its totient is φ = 1333338840.

The previous prime is 2111119999. The next prime is 2111120003. The reversal of 2111120001 is 1000211112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2111119999) and next prime (2111120003).

It is not a de Polignac number, because 2111120001 - 21 = 2111119999 is a prime.

It is a super-3 number, since 3×21111200013 (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2111120003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6172695 + ... + 6173036.

It is an arithmetic number, because the mean of its divisors is an integer number (267490860).

Almost surely, 22111120001 is an apocalyptic number.

It is an amenable number.

2111120001 is a deficient number, since it is larger than the sum of its proper divisors (1098770319).

2111120001 is a wasteful number, since it uses less digits than its factorization.

2111120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12345756 (or 12345753 counting only the distinct ones).

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

The square root of 2111120001 is about 45946.9259145811. The cubic root of 2111120001 is about 1282.8355110940.

Adding to 2111120001 its reverse (1000211112), we get a palindrome (3111331113).

The spelling of 2111120001 in words is "two billion, one hundred eleven million, one hundred twenty thousand, one".

Divisors: 1 3 9 19 57 171 12345731 37037193 111111579 234568889 703706667 2111120001