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117817130025 = 3252744672
BaseRepresentation
bin110110110111001110…
…0101011110000101001
3102021002212201022211100
41231232130223300221
53412242141130100
6130042513552013
711340422040000
oct1555634536051
9367085638740
10117817130025
1145a69775651
121aa00875609
13b157ba2a2a
1459b9487c37
1530e851e400
hex1b6e72bc29

117817130025 has 135 divisors (see below), whose sum is σ = 246707797271. Its totient is φ = 53743929120.

The previous prime is 117817130023. The next prime is 117817130059. The reversal of 117817130025 is 520031718711.

The square root of 117817130025 is 343245.

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

It can be written as a sum of positive squares in only one way, i.e., 42414166809 + 75402963216 = 205947^2 + 274596^2 .

It is not a de Polignac number, because 117817130025 - 21 = 117817130023 is a prime.

It is a super-2 number, since 2×1178171300252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (117817130023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 252284842 + ... + 252285308.

Almost surely, 2117817130025 is an apocalyptic number.

117817130025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

117817130025 is the 343245-th square number.

117817130025 is the 171623-rd centered octagonal number.

It is an amenable number.

117817130025 is an abundant number, since it is smaller than the sum of its proper divisors (128890667246).

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

117817130025 is an frugal number, since it uses more digits than its factorization.

117817130025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

Multiplying 117817130025 by its sum of digits (36), we get a square (4241416680900 = 20594702).

Adding to 117817130025 its reverse (520031718711), we get a palindrome (637848848736).

The spelling of 117817130025 in words is "one hundred seventeen billion, eight hundred seventeen million, one hundred thirty thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 343 441 467 525 735 1029 1225 1401 1575 1715 2205 2335 2401 3087 3269 3675 4203 5145 7005 7203 8575 9807 11025 11675 12005 15435 16345 21015 21609 22883 25725 29421 35025 36015 49035 60025 68649 77175 81725 105075 108045 114415 147105 160181 180075 205947 218089 245175 343245 480543 540225 572075 654267 735525 800905 1029735 1090445 1121267 1441629 1526623 1716225 1962801 2402715 3271335 3363801 4004525 4579869 5148675 5452225 5606335 7208145 7633115 9814005 10091403 10686361 12013575 13739607 16356675 16819005 22899345 28031675 32059083 36040725 38165575 49070025 50457015 53431805 68698035 74804527 84095025 96177249 114496725 160295415 224413581 252285075 267159025 343490175 374022635 480886245 523631689 673240743 801477075 1122067905 1570895067 1870113175 2404431225 2618158445 3366203715 4712685201 5610339525 7854475335 13090792225 16831018575 23563426005 39272376675 117817130025