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120541344345 = 3552312233527
BaseRepresentation
bin111000001000011010…
…0101111001001011001
3102112010201210202100000
41300100310233021121
53433332041004340
6131213111203213
711465061343542
oct1602064571131
9375121722300
10120541344345
11471374a0144
121b441076509
13b4a03b6b76
145b971c14c9
153207788d30
hex1c10d2f259

120541344345 has 96 divisors (see below), whose sum is σ = 226346545152. Its totient is φ = 61425853632.

The previous prime is 120541344293. The next prime is 120541344359. The reversal of 120541344345 is 543443145021.

120541344345 is a `hidden beast` number, since 1 + 2 + 0 + 541 + 34 + 43 + 45 = 666.

It is not a de Polignac number, because 120541344345 - 220 = 120540295769 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 34174972 + ... + 34178498.

It is an arithmetic number, because the mean of its divisors is an integer number (2357776512).

Almost surely, 2120541344345 is an apocalyptic number.

120541344345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120541344345 is a deficient number, since it is larger than the sum of its proper divisors (105805200807).

120541344345 is a wasteful number, since it uses less digits than its factorization.

120541344345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 120541344345 its reverse (543443145021), we get a palindrome (663984489366).

The spelling of 120541344345 in words is "one hundred twenty billion, five hundred forty-one million, three hundred forty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 23 27 45 69 81 115 135 207 243 345 405 621 1035 1215 1223 1863 3105 3527 3669 5589 6115 9315 10581 11007 17635 18345 27945 28129 31743 33021 52905 55035 81121 84387 95229 99063 140645 158715 165105 243363 253161 285687 297189 405605 421935 476145 495315 730089 759483 857061 1216815 1265805 1428435 1485945 2190267 2278449 3650445 3797415 4285305 4313521 6570801 6835347 10951335 11392245 12940563 19712403 21567605 32854005 34176735 38821689 64702815 98562015 99210983 116465067 194108445 297632949 349395201 496054915 582325335 892898847 1048185603 1488164745 1746976005 2678696541 4464494235 5240928015 8036089623 13393482705 24108268869 40180448115 120541344345