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113234000 = 2453115147
BaseRepresentation
bin1101011111111…
…01000001010000
321220001212211212
412233331001100
5212441442000
615122555252
72543321165
oct657750120
9256055755
10113234000
1158a10420
1231b08b28
131a5c8389
141107806c
159e1ac35
hex6bfd050

113234000 has 80 divisors (see below), whose sum is σ = 298748736. Its totient is φ = 41168000.

The previous prime is 113233997. The next prime is 113234003. The reversal of 113234000 is 432311.

It is an interprime number because it is at equal distance from previous prime (113233997) and next prime (113234003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113234003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19427 + ... + 24573.

Almost surely, 2113234000 is an apocalyptic number.

113234000 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 113234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149374368).

113234000 is an abundant number, since it is smaller than the sum of its proper divisors (185514736).

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

113234000 is a wasteful number, since it uses less digits than its factorization.

113234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5181 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 113234000 is about 10641.1465547656. The cubic root of 113234000 is about 483.7922975566.

Adding to 113234000 its reverse (432311), we get a palindrome (113666311).

The spelling of 113234000 in words is "one hundred thirteen million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5147 5500 10294 11000 20588 22000 25735 41176 51470 56617 82352 102940 113234 128675 205880 226468 257350 283085 411760 452936 514700 566170 643375 905872 1029400 1132340 1286750 1415425 2058800 2264680 2573500 2830850 4529360 5147000 5661700 7077125 10294000 11323400 14154250 22646800 28308500 56617000 113234000