Search a number
-
+
34212114321 = 37111731281033
BaseRepresentation
bin11111110111001100…
…110110111110010001
310021022022010110222020
4133313030312332101
51030031300124241
623414500202053
72320544113350
oct376714667621
9107268113866
1034212114321
1113566934950
126769699329
1332c2c22b38
141927a15997
15d537ecb66
hex7f7336f91

34212114321 has 64 divisors (see below), whose sum is σ = 62160224256. Its totient is φ = 16187443200.

The previous prime is 34212114317. The next prime is 34212114337. The reversal of 34212114321 is 12341121243.

It is not a de Polignac number, because 34212114321 - 22 = 34212114317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34212114291 and 34212114300.

It is not an unprimeable number, because it can be changed into a prime (34212114301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18780 + ... + 262253.

It is an arithmetic number, because the mean of its divisors is an integer number (971253504).

Almost surely, 234212114321 is an apocalyptic number.

34212114321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34212114321 is a deficient number, since it is larger than the sum of its proper divisors (27948109935).

34212114321 is a wasteful number, since it uses less digits than its factorization.

34212114321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281102.

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

Adding to 34212114321 its reverse (12341121243), we get a palindrome (46553235564).

The spelling of 34212114321 in words is "thirty-four billion, two hundred twelve million, one hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 7 11 17 21 31 33 51 77 93 119 187 217 231 341 357 527 561 651 1023 1309 1581 2387 3689 3927 5797 7161 11067 17391 40579 121737 281033 843099 1967231 3091363 4777561 5901693 8712023 9274089 14332683 21639541 26136069 33442927 52553171 60984161 64918623 95832253 100328781 148104391 157659513 182952483 287496759 367872197 444313173 670825771 1036730737 1103616591 1629148301 2012477313 3110192211 4887444903 11404038107 34212114321