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113219130 = 23531532297
BaseRepresentation
bin1101011111110…
…01011000111010
321220001010110010
412233321120322
5212441003010
615122402350
72543226633
oct657713072
9256033403
10113219130
1158a00232
1231b003b6
131a5c168b
141107288a
159e16620
hex6bf963a

113219130 has 64 divisors (see below), whose sum is σ = 285907968. Its totient is φ = 28654080.

The previous prime is 113219089. The next prime is 113219159. The reversal of 113219130 is 31912311.

It is a junction number, because it is equal to n+sod(n) for n = 113219097 and 113219106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48142 + ... + 50438.

It is an arithmetic number, because the mean of its divisors is an integer number (4467312).

Almost surely, 2113219130 is an apocalyptic number.

113219130 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 113219130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142953984).

113219130 is an abundant number, since it is smaller than the sum of its proper divisors (172688838).

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

113219130 is a wasteful number, since it uses less digits than its factorization.

113219130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391.

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 113219130 is about 10640.4478289215. The cubic root of 113219130 is about 483.7711192697.

The spelling of 113219130 in words is "one hundred thirteen million, two hundred nineteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 53 62 93 106 155 159 186 265 310 318 465 530 795 930 1590 1643 2297 3286 4594 4929 6891 8215 9858 11485 13782 16430 22970 24645 34455 49290 68910 71207 121741 142414 213621 243482 356035 365223 427242 608705 712070 730446 1068105 1217410 1826115 2136210 3652230 3773971 7547942 11321913 18869855 22643826 37739710 56609565 113219130