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103439985597025 = 5272112264172
BaseRepresentation
bin10111100001001111111111…
…100110001101101001100001
3111120020202200110002222001121
4113201033333212031221201
5102024230042303101100
61003555401240332241
730534202162233100
oct2741177746155141
9446222613088047
10103439985597025
112aa60719216100
12b727441a74081
13459446c392a5c
141b787445aa037
15be5aa0eeb51a
hex5e13ff98da61

103439985597025 has 81 divisors (see below), whose sum is σ = 164010488872377. Its totient is φ = 64479628012800.

The previous prime is 103439985597019. The next prime is 103439985597041. The reversal of 103439985597025 is 520795589934301.

The square root of 103439985597025 is 10170545.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 25132565271121 + 78307420325904 = 5013239^2 + 8849148^2 .

It is not a de Polignac number, because 103439985597025 - 23 = 103439985597017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3915646617 + ... + 3915673033.

Almost surely, 2103439985597025 is an apocalyptic number.

103439985597025 is the 10170545-th square number.

103439985597025 is the 5085273-rd centered octagonal number.

It is an amenable number.

103439985597025 is a deficient number, since it is larger than the sum of its proper divisors (60570503275352).

103439985597025 is an frugal number, since it uses more digits than its factorization.

103439985597025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52880 (or 26440 counting only the distinct ones).

The product of its (nonzero) digits is 367416000, while the sum is 70.

The spelling of 103439985597025 in words is "one hundred three trillion, four hundred thirty-nine billion, nine hundred eighty-five million, five hundred ninety-seven thousand, twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 275 385 539 605 847 1225 1925 2695 3025 4235 5929 13475 21175 26417 29645 132085 148225 184919 290587 660425 924595 1294433 1452935 2034109 3196457 4622975 6472165 7264675 10170545 14238763 15982285 22375199 32360825 50852725 71193815 79911425 111875995 156626393 355969075 559379975 697857889 783131965 3489289445 3915659825 4885005223 7676436779 17446447225 24425026115 34195036561 38382183895 53735057453 84440804569 122125130575 170975182805 191910919475 268675287265 376145402171 422204022845 591085631983 854875914025 1343376436325 1880727010855 2111020114225 2955428159915 4137599423881 9403635054275 14777140799575 20687997119405 103439985597025