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113003020 = 225132231949
BaseRepresentation
bin1101011110001…
…00101000001100
321212122011000001
412233010220030
5212412044040
615114014044
72541336604
oct657045014
9255564001
10113003020
1158872929
1231a17324
131a5471c0
1411017c04
159dc259a
hex6bc4a0c

113003020 has 48 divisors (see below), whose sum is σ = 256838400. Its totient is φ = 41515776.

The previous prime is 113003017. The next prime is 113003039. The reversal of 113003020 is 20300311.

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

It is a junction number, because it is equal to n+sod(n) for n = 113002988 and 113003006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57006 + ... + 58954.

It is an arithmetic number, because the mean of its divisors is an integer number (5350800).

Almost surely, 2113003020 is an apocalyptic number.

113003020 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 113003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128419200).

113003020 is an abundant number, since it is smaller than the sum of its proper divisors (143835380).

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

113003020 is a wasteful number, since it uses less digits than its factorization.

113003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 113003020 is about 10630.2878606367. The cubic root of 113003020 is about 483.4631195920.

Adding to 113003020 its reverse (20300311), we get a palindrome (133303331).

The spelling of 113003020 in words is "one hundred thirteen million, three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 223 260 446 892 1115 1949 2230 2899 3898 4460 5798 7796 9745 11596 14495 19490 25337 28990 38980 50674 57980 101348 126685 253370 434627 506740 869254 1738508 2173135 4346270 5650151 8692540 11300302 22600604 28250755 56501510 113003020