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344332330102113 = 33137538921214229
BaseRepresentation
bin100111001001010110001111…
…0001110000110110101100001
31200011011211221010021200102020
41032102230132032012311201
5330113020103001231423
63220200031054012053
7132346122064025013
oct11622543616066541
91604154833250366
10344332330102113
119a795580687711
1232751ab47a7029
1311a19526643432
146105ab90641b3
1529c1d1a1894e3
hex1392b1e386d61

344332330102113 has 64 divisors (see below), whose sum is σ = 501484031539200. Its totient is φ = 209684823828480.

The previous prime is 344332330102099. The next prime is 344332330102147. The reversal of 344332330102113 is 311201033233443.

It is a happy number.

It is not a de Polignac number, because 344332330102113 - 218 = 344332329839969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344332330102153) 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, 5624083 + ... + 26838311.

It is an arithmetic number, because the mean of its divisors is an integer number (7835687992800).

Almost surely, 2344332330102113 is an apocalyptic number.

It is an amenable number.

344332330102113 is a deficient number, since it is larger than the sum of its proper divisors (157151701437087).

344332330102113 is a wasteful number, since it uses less digits than its factorization.

344332330102113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21214442.

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 344332330102113 its reverse (311201033233443), we get a palindrome (655533363335556).

It can be divided in two parts, 344332330 and 102113, that added together give a palindrome (344434443).

The spelling of 344332330102113 in words is "three hundred forty-four trillion, three hundred thirty-two billion, three hundred thirty million, one hundred two thousand, one hundred thirteen".

Divisors: 1 3 31 37 53 89 93 111 159 267 1147 1643 1961 2759 3293 3441 4717 4929 5883 8277 9879 14151 60791 102083 146227 174529 182373 306249 438681 523587 5410399 16231197 21214229 63642687 657641099 784926473 1124354137 1888066381 1972923297 2354779419 3373062411 5664199143 24332720663 34854978247 41601103069 58530057811 69858456097 72998161989 100067518193 104564934741 124803309207 175590173433 209575368291 300202554579 1289634195139 2165612139007 3102093063983 3702498173141 3868902585417 6496836417021 9306279191949 11107494519423 114777443367371 344332330102113