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113134500 = 22325331811
BaseRepresentation
bin1101011111001…
…00101110100100
321212212211100200
412233210232210
5212430301000
615120510500
72542425123
oct657445644
9255784320
10113134500
1158952696
1231a7b430
131a591cbb
141104daba
159deb500
hex6be4ba4

113134500 has 144 divisors (see below), whose sum is σ = 368868864. Its totient is φ = 29160000.

The previous prime is 113134433. The next prime is 113134501. The reversal of 113134500 is 5431311.

113134500 is a `hidden beast` number, since 1 + 131 + 34 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113134501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139095 + ... + 139905.

Almost surely, 2113134500 is an apocalyptic number.

113134500 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 113134500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184434432).

113134500 is an abundant number, since it is smaller than the sum of its proper divisors (255734364).

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

113134500 is a wasteful number, since it uses less digits than its factorization.

113134500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113134500 is about 10636.4702791857. The cubic root of 113134500 is about 483.6505514376.

Adding to 113134500 its reverse (5431311), we get a palindrome (118565811).

The spelling of 113134500 in words is "one hundred thirteen million, one hundred thirty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 125 150 155 180 186 225 250 279 300 310 372 375 450 465 500 558 620 750 775 811 900 930 1116 1125 1395 1500 1550 1622 1860 2250 2325 2433 2790 3100 3244 3875 4055 4500 4650 4866 5580 6975 7299 7750 8110 9300 9732 11625 12165 13950 14598 15500 16220 20275 23250 24330 25141 27900 29196 34875 36495 40550 46500 48660 50282 60825 69750 72990 75423 81100 100564 101375 121650 125705 139500 145980 150846 182475 202750 226269 243300 251410 301692 304125 364950 377115 405500 452538 502820 608250 628525 729900 754230 905076 912375 1131345 1216500 1257050 1508460 1824750 1885575 2262690 2514100 3142625 3649500 3771150 4525380 5656725 6285250 7542300 9427875 11313450 12570500 18855750 22626900 28283625 37711500 56567250 113134500