Search a number
-
+
112122424414 = 2711132310124109
BaseRepresentation
bin110100001101100000…
…1000110110001011110
3101201102000010022022201
41220123001012301132
53314111320040124
6123301444402114
711046332611510
oct1503301066136
9351360108281
10112122424414
1143607204a80
12198916a633a
13a75b139840
1455d9029bb0
152db35de144
hex1a1b046c5e

112122424414 has 128 divisors (see below), whose sum is σ = 237973800960. Its totient is φ = 38187072000.

The previous prime is 112122424387. The next prime is 112122424417. The reversal of 112122424414 is 414424221211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112122424417) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4638592 + ... + 4662700.

It is an arithmetic number, because the mean of its divisors is an integer number (1859170320).

Almost surely, 2112122424414 is an apocalyptic number.

112122424414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

112122424414 is an abundant number, since it is smaller than the sum of its proper divisors (125851376546).

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

112122424414 is a wasteful number, since it uses less digits than its factorization.

112122424414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24266.

The product of its digits is 4096, while the sum is 28.

Adding to 112122424414 its reverse (414424221211), we get a palindrome (526546645625).

The spelling of 112122424414 in words is "one hundred twelve billion, one hundred twenty-two million, four hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 7 11 13 14 22 23 26 46 77 91 101 143 154 161 182 202 253 286 299 322 506 598 707 1001 1111 1313 1414 1771 2002 2093 2222 2323 2626 3289 3542 4186 4646 6578 7777 9191 14443 15554 16261 18382 23023 24109 25553 28886 30199 32522 46046 48218 51106 60398 101101 168763 178871 202202 211393 265199 313417 332189 337526 357742 422786 530398 554507 626834 664378 1109014 1856393 2193919 2325323 2435009 3447587 3712786 3881549 4387838 4650646 4870018 6099577 6895174 7208591 7763098 12199154 14417182 17045063 24133109 26785099 31655117 34090126 42697039 48266218 50460137 53570198 56005207 63310234 79294501 85394078 100920274 112010414 158589002 187495693 221585819 348206287 374991386 392036449 443171638 555061507 616057277 696412574 728067691 784072898 1110123014 1232114554 1456135382 2437444009 4312400939 4874888018 5096473837 8008744601 8624801878 10192947674 16017489202 56061212207 112122424414