Search a number
-
+
134110332020 = 225717262121499
BaseRepresentation
bin111110011100110011…
…0010100010001110100
3110211011101020202011002
41330321212110101310
54144124221111040
6141335345502432
712455244004430
oct1747146242164
9424141222132
10134110332020
115196a871445
1221ba9341a18
13c853616762
1466c333d9c0
15374db2ea15
hex1f39994474

134110332020 has 96 divisors (see below), whose sum is σ = 340943904000. Its totient is φ = 43257415680.

The previous prime is 134110332001. The next prime is 134110332029. The reversal of 134110332020 is 20233011431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 134110331983 and 134110332001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134110332029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6227231 + ... + 6248729.

It is an arithmetic number, because the mean of its divisors is an integer number (3551499000).

Almost surely, 2134110332020 is an apocalyptic number.

134110332020 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 134110332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170471952000).

134110332020 is an abundant number, since it is smaller than the sum of its proper divisors (206833571980).

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

134110332020 is a wasteful number, since it uses less digits than its factorization.

134110332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24153 (or 24151 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 134110332020 its reverse (20233011431), we get a palindrome (154343343451).

The spelling of 134110332020 in words is "one hundred thirty-four billion, one hundred ten million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 2621 5242 10484 13105 18347 21499 26210 36694 42998 44557 52420 73388 85996 89114 91735 107495 150493 178228 183470 214990 222785 300986 311899 365483 366940 429980 445570 601972 623798 730966 752465 891140 1247596 1461932 1504930 1559495 1827415 2558381 3009860 3118990 3654830 5116762 6237980 7309660 10233524 12791905 25583810 51167620 56348879 112697758 225395516 281744395 394442153 563488790 788884306 957930943 1126977580 1577768612 1915861886 1972210765 3831723772 3944421530 4789654715 6705516601 7888843060 9579309430 13411033202 19158618860 26822066404 33527583005 67055166010 134110332020