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117541125 = 3453131947
BaseRepresentation
bin1110000000110…
…00100100000101
322012011201010000
413000120210011
5220042304000
615355151513
72625040332
oct700304405
9265151100
10117541125
1160392429
1233445599
131b475980
1411879989
15a4bc000
hex7018905

117541125 has 160 divisors (see below), whose sum is σ = 253693440. Its totient is φ = 53654400.

The previous prime is 117541117. The next prime is 117541129. The reversal of 117541125 is 521145711.

117541125 is a `hidden beast` number, since 117 + 541 + 1 + 2 + 5 = 666.

It is not a de Polignac number, because 117541125 - 23 = 117541117 is a prime.

It is a super-3 number, since 3×1175411253 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117541129) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2500852 + ... + 2500898.

It is an arithmetic number, because the mean of its divisors is an integer number (1585584).

Almost surely, 2117541125 is an apocalyptic number.

117541125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117541125 is an abundant number, since it is smaller than the sum of its proper divisors (136152315).

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

117541125 is a wasteful number, since it uses less digits than its factorization.

117541125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its digits is 1400, while the sum is 27.

The square root of 117541125 is about 10841.6384831814. The cubic root of 117541125 is about 489.8501902155.

Adding to 117541125 its reverse (521145711), we get a palindrome (638686836).

The spelling of 117541125 in words is "one hundred seventeen million, five hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 19 25 27 39 45 47 57 65 75 81 95 117 125 135 141 171 195 225 235 247 285 325 351 375 405 423 475 513 585 611 675 705 741 855 893 975 1053 1125 1175 1235 1269 1425 1539 1625 1755 1833 2025 2115 2223 2375 2565 2679 2925 3055 3375 3525 3705 3807 4275 4465 4875 5265 5499 5875 6175 6345 6669 7125 7695 8037 8775 9165 10125 10575 11115 11609 12825 13395 14625 15275 16497 17625 18525 19035 20007 21375 22325 24111 26325 27495 30875 31725 33345 34827 38475 40185 43875 45825 49491 52875 55575 58045 64125 66975 72333 76375 82485 92625 95175 100035 104481 111625 120555 131625 137475 158625 166725 174135 192375 200925 229125 247455 277875 290225 313443 334875 361665 412425 475875 500175 522405 602775 687375 833625 870675 940329 1004625 1237275 1451125 1567215 1808325 2062125 2500875 2612025 3013875 4353375 4701645 6186375 7836075 9041625 13060125 23508225 39180375 117541125