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117000100 = 22527192463
BaseRepresentation
bin1101111100101…
…00011110100100
322011011012222001
412332110132210
5214423000400
615335415044
72620325110
oct676243644
9264135861
10117000100
11600529a8
1233224484
131b316639
1411778740
15a411a6a
hex6f947a4

117000100 has 108 divisors (see below), whose sum is σ = 306897024. Its totient is φ = 37920960.

The previous prime is 117000077. The next prime is 117000109. The reversal of 117000100 is 1000711.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (117000109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252469 + ... + 252931.

Almost surely, 2117000100 is an apocalyptic number.

117000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153448512).

117000100 is an abundant number, since it is smaller than the sum of its proper divisors (189896924).

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

117000100 is a wasteful number, since it uses less digits than its factorization.

117000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 117000100 is about 10816.6584488926. The cubic root of 117000100 is about 489.0974639948.

Adding to 117000100 its reverse (1000711), we get a palindrome (118000811).

The spelling of 117000100 in words is "one hundred seventeen million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 361 380 463 475 532 665 700 722 926 950 1330 1444 1805 1852 1900 2315 2527 2660 3241 3325 3610 4630 5054 6482 6650 7220 8797 9025 9260 10108 11575 12635 12964 13300 16205 17594 18050 23150 25270 32410 35188 36100 43985 46300 50540 61579 63175 64820 81025 87970 123158 126350 162050 167143 175940 219925 246316 252700 307895 324100 334286 439850 615790 668572 835715 879700 1170001 1231580 1539475 1671430 2340002 3078950 3342860 4178575 4680004 5850005 6157900 8357150 11700010 16714300 23400020 29250025 58500050 117000100