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113122000 = 2453163347
BaseRepresentation
bin1101011111000…
…01101011010000
321212212012012201
412233201223100
5212424401000
615120332544
72542343515
oct657415320
9255765181
10113122000
1158944262
1231a74154
131a5893c4
141104930c
159de796a
hex6be1ad0

113122000 has 80 divisors (see below), whose sum is σ = 276000192. Its totient is φ = 44841600.

The previous prime is 113121979. The next prime is 113122001. The reversal of 113122000 is 221311.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113122001) 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, 325827 + ... + 326173.

Almost surely, 2113122000 is an apocalyptic number.

113122000 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 113122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138000096).

113122000 is an abundant number, since it is smaller than the sum of its proper divisors (162878192).

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

113122000 is a wasteful number, since it uses less digits than its factorization.

113122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 113122000 is about 10635.8826620079. The cubic root of 113122000 is about 483.6327382608.

Adding to 113122000 its reverse (221311), we get a palindrome (113343311).

The spelling of 113122000 in words is "one hundred thirteen million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 163 200 250 326 347 400 500 652 694 815 1000 1304 1388 1630 1735 2000 2608 2776 3260 3470 4075 5552 6520 6940 8150 8675 13040 13880 16300 17350 20375 27760 32600 34700 40750 43375 56561 65200 69400 81500 86750 113122 138800 163000 173500 226244 282805 326000 347000 452488 565610 694000 904976 1131220 1414025 2262440 2828050 4524880 5656100 7070125 11312200 14140250 22624400 28280500 56561000 113122000