Search a number
-
+
113210020 = 225711241163
BaseRepresentation
bin1101011111101…
…11001010100100
321220000122221201
412233313022210
5212440210040
615122252244
72543161240
oct657671244
9256018851
10113210020
11589a4400
1231ab7084
131a5ba4a1
141106d420
159e13a9a
hex6bf72a4

113210020 has 144 divisors (see below), whose sum is σ = 307810944. Its totient is φ = 34214400.

The previous prime is 113210017. The next prime is 113210023. The reversal of 113210020 is 20012311.

It is an interprime number because it is at equal distance from previous prime (113210017) and next prime (113210023).

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 = 113209979 and 113210006.

It is not an unprimeable number, because it can be changed into a prime (113210023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 694459 + ... + 694621.

It is an arithmetic number, because the mean of its divisors is an integer number (2137576).

Almost surely, 2113210020 is an apocalyptic number.

113210020 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 113210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153905472).

113210020 is an abundant number, since it is smaller than the sum of its proper divisors (194600924).

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

113210020 is a wasteful number, since it uses less digits than its factorization.

113210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 113210020 is about 10640.0197368238. The cubic root of 113210020 is about 483.7581436265.

Adding to 113210020 its reverse (20012311), we get a palindrome (133222331).

The spelling of 113210020 in words is "one hundred thirteen million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 41 44 55 70 77 82 110 121 140 154 163 164 205 220 242 287 308 326 385 410 451 484 574 605 652 770 815 820 847 902 1141 1148 1210 1435 1540 1630 1694 1793 1804 2255 2282 2420 2870 3157 3260 3388 3586 4235 4510 4564 4961 5705 5740 6314 6683 7172 8470 8965 9020 9922 11410 12551 12628 13366 15785 16940 17930 19723 19844 22820 24805 25102 26732 31570 33415 34727 35860 39446 46781 49610 50204 62755 63140 66830 69454 73513 78892 93562 98615 99220 125510 133660 138061 138908 147026 173635 187124 197230 233905 251020 276122 294052 347270 367565 394460 467810 514591 552244 690305 694540 735130 808643 935620 1029182 1380610 1470260 1617286 2058364 2572955 2761220 3234572 4043215 5145910 5660501 8086430 10291820 11321002 16172860 22642004 28302505 56605010 113210020