Search a number
-
+
2142313100 = 225246146471
BaseRepresentation
bin111111110110001…
…0001101010001100
312112022010210002122
41333230101222030
513341413004400
6552325112112
7104042234534
oct17754215214
95468123078
102142313100
119aa3095a4
124b9558638
13281ab44b5
141647424c4
15c8124685
hex7fb11a8c

2142313100 has 36 divisors (see below), whose sum is σ = 4659003888. Its totient is φ = 855048000.

The previous prime is 2142313087. The next prime is 2142313153. The reversal of 2142313100 is 13132412.

It is a super-2 number, since 2×21423131002 = 9179010836863220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22865 + ... + 69335.

Almost surely, 22142313100 is an apocalyptic number.

2142313100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142313100 is an abundant number, since it is smaller than the sum of its proper divisors (2516690788).

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

2142313100 is a wasteful number, since it uses less digits than its factorization.

2142313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46946 (or 46939 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2142313100 is about 46285.1282811229. The cubic root of 2142313100 is about 1289.1228738837.

Adding to 2142313100 its reverse (13132412), we get a palindrome (2155445512).

The spelling of 2142313100 in words is "two billion, one hundred forty-two million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 461 922 1844 2305 4610 9220 11525 23050 46100 46471 92942 185884 232355 464710 929420 1161775 2323550 4647100 21423131 42846262 85692524 107115655 214231310 428462620 535578275 1071156550 2142313100