Search a number
-
+
113021101000 = 23531911035393
BaseRepresentation
bin110100101000010010…
…1010010001111001000
3101210201122010210211201
41221100211102033020
53322431400213000
6123530550233544
711110524336043
oct1512045221710
9353648123751
10113021101000
1143a28512aa5
1219aa26558b4
13a87238ba32
14568251dc5a
152e1745896a
hex1a509523c8

113021101000 has 128 divisors (see below), whose sum is σ = 278692876800. Its totient is φ = 42782284800.

The previous prime is 113021100937. The next prime is 113021101001. The reversal of 113021101000 is 101120311.

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

It is not an unprimeable number, because it can be changed into a prime (113021101001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20954304 + ... + 20959696.

It is an arithmetic number, because the mean of its divisors is an integer number (2177288100).

Almost surely, 2113021101000 is an apocalyptic number.

113021101000 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 113021101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139346438400).

113021101000 is an abundant number, since it is smaller than the sum of its proper divisors (165671775800).

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

113021101000 is a wasteful number, since it uses less digits than its factorization.

113021101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536 (or 6522 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 113021101000 its reverse (101120311), we get a palindrome (113122221311).

The spelling of 113021101000 in words is "one hundred thirteen billion, twenty-one million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1103 1900 2206 2375 3800 4412 4750 5393 5515 8824 9500 10786 11030 19000 20957 21572 22060 26965 27575 41914 43144 44120 53930 55150 83828 102467 104785 107860 110300 134825 137875 167656 204934 209570 215720 220600 269650 275750 409868 419140 512335 523925 539300 551500 674125 819736 838280 1024670 1047850 1078600 1103000 1348250 2049340 2095700 2561675 2619625 2696500 4098680 4191400 5123350 5239250 5393000 5948479 10246700 10478500 11896958 12808375 20493400 20957000 23793916 25616750 29742395 47587832 51233500 59484790 102467000 113021101 118969580 148711975 226042202 237939160 297423950 452084404 565105505 594847900 743559875 904168808 1130211010 1189695800 1487119750 2260422020 2825527525 2974239500 4520844040 5651055050 5948479000 11302110100 14127637625 22604220200 28255275250 56510550500 113021101000