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12315501343125 = 33543157740801
BaseRepresentation
bin1011001100110110110100…
…0101010011000110010101
31121121100110110111221201000
42303031231011103012111
53103234121320440000
642105355130453513
72410523414124141
oct263155505230625
947540413457630
1012315501343125
113a18a7a497682
12146a9b0594299
136b4467b9ca76
1430810576a221
1516554b425000
hexb336d153195

12315501343125 has 160 divisors (see below), whose sum is σ = 23576009262080. Its totient is φ = 6345216000000.

The previous prime is 12315501343069. The next prime is 12315501343133. The reversal of 12315501343125 is 52134310551321.

It is a happy number.

12315501343125 is a `hidden beast` number, since 1 + 2 + 31 + 550 + 13 + 43 + 1 + 25 = 666.

12315501343125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12315501343125 - 28 = 12315501342869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12315501343125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 301822725 + ... + 301863525.

It is an arithmetic number, because the mean of its divisors is an integer number (147350057888).

Almost surely, 212315501343125 is an apocalyptic number.

12315501343125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12315501343125 is a deficient number, since it is larger than the sum of its proper divisors (11260507918955).

12315501343125 is an equidigital number, since it uses as much as digits as its factorization.

12315501343125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41438 (or 41417 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 12315501343125 its reverse (52134310551321), we get a palindrome (64449811894446).

The spelling of 12315501343125 in words is "twelve trillion, three hundred fifteen billion, five hundred one million, three hundred forty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 93 125 135 155 225 279 375 465 577 625 675 775 837 1125 1395 1731 1875 2325 2885 3375 3875 4185 5193 5625 6975 8655 11625 14425 15579 16875 17887 19375 20925 25965 34875 40801 43275 53661 58125 72125 77895 89435 104625 122403 129825 160983 174375 204005 216375 268305 360625 367209 389475 447175 482949 523125 612015 649125 804915 1020025 1081875 1101627 1264831 1341525 1836045 1947375 2235875 2414745 3060075 3245625 3794493 4024575 5100125 5508135 6324155 6707625 9180225 9736875 11179375 11383479 12073725 15300375 18972465 20122875 23542177 25500625 27540675 31620775 33538125 34150437 45901125 56917395 60368625 70626531 76501875 94862325 100614375 117710885 137703375 158103875 170752185 211879593 229505625 284586975 301843125 353132655 474311625 588554425 635638779 688516875 729807487 790519375 853760925 1059397965 1422934875 1765663275 2189422461 2371558125 2942772125 3178193895 3649037435 4268804625 5296989825 6568267383 7114674375 8828316375 10947112305 14713860625 15890969475 18245187175 19704802149 21344023125 26484949125 32841336915 44141581875 54735561525 79454847375 91225935875 98524010745 132424745625 164206684575 273677807625 397274236875 456129679375 492620053725 821033422875 1368389038125 2463100268625 4105167114375 12315501343125