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113019930 = 23252371769
BaseRepresentation
bin1101011110010…
…00110000011010
321212200000012100
412233020300122
5212413114210
615114224230
72541440112
oct657106032
9255600170
10113019930
1158884601
1231a25076
131a551aca
1411020042
159dc75c0
hex6bc8c1a

113019930 has 96 divisors (see below), whose sum is σ = 311351040. Its totient is φ = 28385280.

The previous prime is 113019917. The next prime is 113019937. The reversal of 113019930 is 39910311.

It is a junction number, because it is equal to n+sod(n) for n = 113019894 and 113019903.

It is not an unprimeable number, because it can be changed into a prime (113019937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146586 + ... + 147354.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 2113019930 is an apocalyptic number.

113019930 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 113019930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

113019930 is an abundant number, since it is smaller than the sum of its proper divisors (198331110).

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

113019930 is a wasteful number, since it uses less digits than its factorization.

113019930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 113019930 is about 10631.0831997497. The cubic root of 113019930 is about 483.4872338549.

The spelling of 113019930 in words is "one hundred thirteen million, nineteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 71 90 115 138 142 207 213 230 345 355 414 426 639 690 710 769 1035 1065 1278 1538 1633 2070 2130 2307 3195 3266 3845 4614 4899 6390 6921 7690 8165 9798 11535 13842 14697 16330 17687 23070 24495 29394 34605 35374 48990 53061 54599 69210 73485 88435 106122 109198 146970 159183 163797 176870 265305 272995 318366 327594 491391 530610 545990 795915 818985 982782 1255777 1591830 1637970 2456955 2511554 3767331 4913910 6278885 7534662 11301993 12557770 18836655 22603986 37673310 56509965 113019930