Search a number
-
+
112142052135 = 32529731177159
BaseRepresentation
bin110100001110000101…
…1111110101100100111
3101201110101001111111100
41220130023332230213
53314131331132020
6123303425211143
711046661500261
oct1503413765447
9351411044440
10112142052135
11436172a0633
1219898190ab3
13a76221c689
1455db898b31
152db51b9a90
hex1a1c2feb27

112142052135 has 48 divisors (see below), whose sum is σ = 203837025600. Its totient is φ = 56955612672.

The previous prime is 112142052107. The next prime is 112142052163. The reversal of 112142052135 is 531250241211.

It is a happy number.

112142052135 is a `hidden beast` number, since 1 + 1 + 21 + 420 + 5 + 213 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (112142052107) and next prime (112142052163).

It is not a de Polignac number, because 112142052135 - 27 = 112142052007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112142052099 and 112142052108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493315 + ... + 683844.

It is an arithmetic number, because the mean of its divisors is an integer number (4246604700).

Almost surely, 2112142052135 is an apocalyptic number.

112142052135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112142052135 is a deficient number, since it is larger than the sum of its proper divisors (91694973465).

112142052135 is a wasteful number, since it uses less digits than its factorization.

112142052135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177272 (or 1177269 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 112142052135 its reverse (531250241211), we get a palindrome (643392293346).

The spelling of 112142052135 in words is "one hundred twelve billion, one hundred forty-two million, fifty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 29 45 73 87 145 219 261 365 435 657 1095 1305 2117 3285 6351 10585 19053 31755 95265 1177159 3531477 5885795 10594431 17657385 34137611 52972155 85932607 102412833 170688055 257797821 307238499 429663035 512064165 773393463 1288989105 1536192495 2492045603 3866967315 7476136809 12460228015 22428410427 37380684045 112142052135