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2144113101 = 321318325753
BaseRepresentation
bin111111111001100…
…1001000111001101
312112102112020020100
41333303021013031
513342343104401
6552431441313
7104063442414
oct17763110715
95472466210
102144113101
11a003289a9
124ba086239
132822948a0
14164a9047b
15c837cb86
hex7fcc91cd

2144113101 has 12 divisors (see below), whose sum is σ = 3335287228. Its totient is φ = 1319454144.

The previous prime is 2144113099. The next prime is 2144113141. The reversal of 2144113101 is 1013114412.

It can be written as a sum of positive squares in 2 ways, for example, as 462293001 + 1681820100 = 21501^2 + 41010^2 .

It is not a de Polignac number, because 2144113101 - 21 = 2144113099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144113141) 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, 9162760 + ... + 9162993.

Almost surely, 22144113101 is an apocalyptic number.

It is an amenable number.

2144113101 is a deficient number, since it is larger than the sum of its proper divisors (1191174127).

2144113101 is a wasteful number, since it uses less digits than its factorization.

2144113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18325772 (or 18325769 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2144113101 is about 46304.5688998397. The cubic root of 2144113101 is about 1289.4838190822.

Adding to 2144113101 its reverse (1013114412), we get a palindrome (3157227513).

The spelling of 2144113101 in words is "two billion, one hundred forty-four million, one hundred thirteen thousand, one hundred one".

Divisors: 1 3 9 13 39 117 18325753 54977259 164931777 238234789 714704367 2144113101