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113111010 = 232523531031
BaseRepresentation
bin1101011110111…
…10111111100010
321212211122010200
412233132333202
5212424023020
615120210030
72542266465
oct657367742
9255748120
10113111010
1158936a81
1231a69916
131a5843bc
14110452dc
159de4590
hex6bdefe2

113111010 has 96 divisors (see below), whose sum is σ = 312968448. Its totient is φ = 28279680.

The previous prime is 113110997. The next prime is 113111051. The reversal of 113111010 is 10111311.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 113110983 and 113111001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109195 + ... + 110225.

It is an arithmetic number, because the mean of its divisors is an integer number (3260088).

Almost surely, 2113111010 is an apocalyptic number.

113111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156484224).

113111010 is an abundant number, since it is smaller than the sum of its proper divisors (199857438).

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

113111010 is a wasteful number, since it uses less digits than its factorization.

113111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 113111010 is about 10635.3660021647. The cubic root of 113111010 is about 483.6170758316.

Adding to 113111010 its reverse (10111311), we get a palindrome (123222321).

It can be divided in two parts, 11311 and 1010, that added together give a palindrome (12321).

The spelling of 113111010 in words is "one hundred thirteen million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 53 69 90 106 115 138 159 207 230 265 318 345 414 477 530 690 795 954 1031 1035 1219 1590 2062 2070 2385 2438 3093 3657 4770 5155 6095 6186 7314 9279 10310 10971 12190 15465 18285 18558 21942 23713 30930 36570 46395 47426 54643 54855 71139 92790 109286 109710 118565 142278 163929 213417 237130 273215 327858 355695 426834 491787 546430 711390 819645 983574 1067085 1256789 1639290 2134170 2458935 2513578 3770367 4917870 6283945 7540734 11311101 12567890 18851835 22622202 37703670 56555505 113111010