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113110998 = 237111337509
BaseRepresentation
bin1101011110111…
…10111111010110
321212211122010020
412233132333112
5212424022443
615120210010
72542266450
oct657367726
9255748106
10113110998
1158936a70
1231a69906
131a5843b0
14110452d0
159de4583
hex6bdefd6

113110998 has 128 divisors (see below), whose sum is σ = 312560640. Its totient is φ = 26334720.

The previous prime is 113110997. The next prime is 113111051. The reversal of 113110998 is 899011311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113110993) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221968 + ... + 222476.

It is an arithmetic number, because the mean of its divisors is an integer number (2441880).

Almost surely, 2113110998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113110998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320).

113110998 is an abundant number, since it is smaller than the sum of its proper divisors (199449642).

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

113110998 is a wasteful number, since it uses less digits than its factorization.

113110998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582.

The product of its (nonzero) digits is 1944, while the sum is 33.

The square root of 113110998 is about 10635.3654380092. The cubic root of 113110998 is about 483.6170587293.

It can be divided in two parts, 113 and 110998, that added together give a palindrome (111111).

The spelling of 113110998 in words is "one hundred thirteen million, one hundred ten thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 509 518 546 777 814 858 962 1001 1018 1221 1443 1527 1554 2002 2442 2849 2886 3003 3054 3367 3563 5291 5599 5698 6006 6617 6734 7126 8547 10101 10582 10689 11198 13234 15873 16797 17094 18833 19851 20202 21378 31746 33594 37037 37666 39193 39702 46319 56499 72787 74074 78386 92638 111111 112998 117579 131831 138957 145574 207163 218361 222222 235158 244829 263662 277914 395493 414326 436722 489658 509509 621489 734487 790986 1019018 1242978 1450141 1468974 1528527 1713803 2693119 2900282 3057054 3427606 4350423 5141409 5386238 8079357 8700846 10282818 16158714 18851833 37703666 56555499 113110998