Search a number
-
+
34112114223 = 31123711733659
BaseRepresentation
bin11111110001001111…
…011000111000101111
310021001022221221121220
4133301033120320233
51024330200123343
623400524554423
72315221121025
oct376117307057
9107038857556
1034112114223
1113515443340
1267400b2a13
1332a82ac295
141918624715
15d49b48183
hex7f13d8e2f

34112114223 has 64 divisors (see below), whose sum is σ = 52822056960. Its totient is φ = 19378620800.

The previous prime is 34112114213. The next prime is 34112114233. The reversal of 34112114223 is 32241121143.

It is an interprime number because it is at equal distance from previous prime (34112114213) and next prime (34112114233).

It is not a de Polignac number, because 34112114223 - 26 = 34112114159 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34112114193 and 34112114202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34112114213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9320968 + ... + 9324626.

It is an arithmetic number, because the mean of its divisors is an integer number (825344640).

Almost surely, 234112114223 is an apocalyptic number.

34112114223 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34112114223 is a deficient number, since it is larger than the sum of its proper divisors (18709942737).

34112114223 is a wasteful number, since it uses less digits than its factorization.

34112114223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940.

The product of its digits is 1152, while the sum is 24.

Adding to 34112114223 its reverse (32241121143), we get a palindrome (66353235366).

The spelling of 34112114223 in words is "thirty-four billion, one hundred twelve million, one hundred fourteen thousand, two hundred twenty-three".

Divisors: 1 3 11 23 33 69 71 173 213 253 519 759 781 1633 1903 2343 3659 3979 4899 5709 10977 11937 12283 17963 36849 40249 43769 53889 84157 120747 131307 135113 252471 259789 282509 405339 633007 779367 847527 925727 1899021 2777181 2857679 3107599 5975147 6963077 8573037 9322797 14559161 17925441 20889231 43677483 44943497 65726617 134830491 160150771 197179851 480452313 494378467 1033700431 1483135401 3101101293 11370704741 34112114223