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114312110533125 = 354557507721559
BaseRepresentation
bin11001111111011101011100…
…101111011110101000000101
3112222202010112112021100002020
4121333131130233132220011
5104440342200244030000
61043042131505433353
733035530443344151
oct3177353457365005
9488663475240066
10114312110533125
113347254831591a
12109a255263b859
134ba277cc2120b
142032a42974061
15d337c1182ba0
hex67f75cbdea05

114312110533125 has 80 divisors (see below), whose sum is σ = 190847588722560. Its totient is φ = 60842194848000.

The previous prime is 114312110533121. The next prime is 114312110533147. The reversal of 114312110533125 is 521335011213411.

It is not a de Polignac number, because 114312110533125 - 22 = 114312110533121 is a prime.

It is a super-3 number, since 3×1143121105331253 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114312110533121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5302281096 + ... + 5302302654.

It is an arithmetic number, because the mean of its divisors is an integer number (2385594859032).

Almost surely, 2114312110533125 is an apocalyptic number.

114312110533125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114312110533125 is a deficient number, since it is larger than the sum of its proper divisors (76535478189435).

114312110533125 is an equidigital number, since it uses as much as digits as its factorization.

114312110533125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27216 (or 27201 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

Adding to 114312110533125 its reverse (521335011213411), we get a palindrome (635647121746536).

The spelling of 114312110533125 in words is "one hundred fourteen trillion, three hundred twelve billion, one hundred ten million, five hundred thirty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 375 557 625 1671 1875 2785 5077 8355 13925 15231 21559 25385 41775 64677 69625 76155 107795 126925 208875 323385 348125 380775 538975 634625 1044375 1616925 1903875 2694875 2827889 3173125 8084625 8483667 9519375 12008363 13474375 14139445 36025089 40423125 42418335 60041815 70697225 109455043 180125445 212091675 300209075 328365129 353486125 547275215 900627225 1060458375 1501045375 1641825645 1767430625 2736376075 4503136125 5302291875 7505226875 8209128225 13681880375 22515680625 41045641125 60966458951 68409401875 182899376853 205228205625 304832294755 914496884265 1524161473775 4572484421325 7620807368875 22862422106625 38104036844375 114312110533125