Search a number
-
+
2142311101 = 71013030143
BaseRepresentation
bin111111110110001…
…0001001010111101
312112022010200100121
41333230101022331
513341412423401
6552325054541
7104042225650
oct17754211275
95468120317
102142311101
119aa308047
124b9557451
13281ab3608
14164741897
15c8123ca1
hex7fb112bd

2142311101 has 8 divisors (see below), whose sum is σ = 2472597504. Its totient is φ = 1818085200.

The previous prime is 2142311077. The next prime is 2142311107. The reversal of 2142311101 is 1011132412.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2142311101 - 225 = 2108756669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142311107) 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 7 ways as a sum of consecutive naturals, for example, 1514365 + ... + 1515778.

It is an arithmetic number, because the mean of its divisors is an integer number (309074688).

Almost surely, 22142311101 is an apocalyptic number.

It is an amenable number.

2142311101 is a deficient number, since it is larger than the sum of its proper divisors (330286403).

2142311101 is a wasteful number, since it uses less digits than its factorization.

2142311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030251.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 2142311101 is about 46285.1066867086. The cubic root of 2142311101 is about 1289.1224729218.

Adding to 2142311101 its reverse (1011132412), we get a palindrome (3153443513).

Subtracting from 2142311101 its reverse (1011132412), we obtain a square (1131178689 = 336332).

It can be divided in two parts, 2142311 and 101, that added together give a palindrome (2142412).

The spelling of 2142311101 in words is "two billion, one hundred forty-two million, three hundred eleven thousand, one hundred one".

Divisors: 1 7 101 707 3030143 21211001 306044443 2142311101