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103215464055 = 33511195962003
BaseRepresentation
bin110000000100000011…
…1101111111001110111
3100212102021002211201000
41200020013233321313
53142341124322210
6115225545334343
710312526653164
oct1401007577167
9325367084630
10103215464055
113a856490910
12180067973b3
13996ba33bb2
144dd211306b
152a4168eac0
hex18081efe77

103215464055 has 128 divisors (see below), whose sum is σ = 214285824000. Its totient is φ = 46605663360.

The previous prime is 103215464039. The next prime is 103215464059. The reversal of 103215464055 is 550464512301.

103215464055 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 1 + 5 + 4 + 640 + 5 + 5 = 666.

It is not a de Polignac number, because 103215464055 - 24 = 103215464039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103215464059) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1633684 + ... + 1695686.

It is an arithmetic number, because the mean of its divisors is an integer number (1674108000).

Almost surely, 2103215464055 is an apocalyptic number.

103215464055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103215464055 is an abundant number, since it is smaller than the sum of its proper divisors (111070359945).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103215464055 is a wasteful number, since it uses less digits than its factorization.

103215464055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62106 (or 62100 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 103215464055 its reverse (550464512301), we get a palindrome (653679976356).

It can be divided in two parts, 1032154 and 64055, that added together give a square (1096209 = 10472).

The spelling of 103215464055 in words is "one hundred three billion, two hundred fifteen million, four hundred sixty-four thousand, fifty-five".

Divisors: 1 3 5 9 11 15 19 27 33 45 55 57 59 95 99 135 165 171 177 209 285 295 297 495 513 531 627 649 855 885 1045 1121 1485 1593 1881 1947 2565 2655 3135 3245 3363 5605 5643 5841 7965 9405 9735 10089 12331 16815 17523 28215 29205 30267 36993 50445 61655 62003 87615 110979 151335 184965 186009 310015 332937 554895 558027 682033 930045 1178057 1664685 1674081 2046099 2790135 3410165 3534171 3658177 5890285 6138297 8370405 10230495 10602513 10974531 12958627 17670855 18290885 18414891 30691485 31807539 32923593 38875881 40239947 53012565 54872655 64793135 69505363 92074455 98770779 116627643 120719841 159037695 164617965 194379405 201199735 208516089 347526815 349882929 362159523 493853895 583138215 603599205 625548267 764558993 1042580445 1086478569 1749414645 1810797615 1876644801 2293676979 3127741335 3822794965 5432392845 6881030937 9383224005 11468384895 20643092811 34405154685 103215464055