Search a number
-
+
2142232321300 = 225243789489217
BaseRepresentation
bin11111001011000110111…
…111110001110100010100
321120210110212001101211221
4133023012333301310110
5240044242433240200
64320043345140124
7310525341200521
oct37130677616424
97523425041757
102142232321300
1175657432aa65
122a721932a644
1312701c763436
1475982770148
153aaceba291a
hex1f2c6ff1d14

2142232321300 has 36 divisors (see below), whose sum is σ = 4648759799740. Its totient is φ = 856871608320.

The previous prime is 2142232321297. The next prime is 2142232321321. The reversal of 2142232321300 is 31232322412.

It can be written as a sum of positive squares in 6 ways, for example, as 11321385604 + 2130910935696 = 106402^2 + 1459764^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4134292 + ... + 4623508.

Almost surely, 22142232321300 is an apocalyptic number.

2142232321300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142232321300 is an abundant number, since it is smaller than the sum of its proper divisors (2506527478440).

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

2142232321300 is a wasteful number, since it uses less digits than its factorization.

2142232321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533020 (or 533013 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2142232321300 its reverse (31232322412), we get a palindrome (2173464643712).

The spelling of 2142232321300 in words is "two trillion, one hundred forty-two billion, two hundred thirty-two million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 43789 87578 175156 218945 437890 489217 875780 978434 1094725 1956868 2189450 2446085 4378900 4892170 9784340 12230425 24460850 48921700 21422323213 42844646426 85689292852 107111616065 214223232130 428446464260 535558080325 1071116160650 2142232321300