Search a number
-
+
130000441120 = 25511193887573
BaseRepresentation
bin111100100010010100…
…0010100111100100000
3110102112221202122201121
41321010220110330200
54112220103103440
6135415452342024
712251350342264
oct1710450247440
9412487678647
10130000441120
11501509505a0
1221240a74914
13c349cca554
1464135820a4
1535acdee34a
hex1e44a14f20

130000441120 has 96 divisors (see below), whose sum is σ = 352680713280. Its totient is φ = 44784829440.

The previous prime is 130000441111. The next prime is 130000441121. The reversal of 130000441120 is 21144000031.

It is a super-2 number, since 2×1300004411202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 130000441094 and 130000441103.

It is not an unprimeable number, because it can be changed into a prime (130000441121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1910347 + ... + 1977226.

It is an arithmetic number, because the mean of its divisors is an integer number (3673757430).

Almost surely, 2130000441120 is an apocalyptic number.

130000441120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130000441120 is an abundant number, since it is smaller than the sum of its proper divisors (222680272160).

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

130000441120 is a wasteful number, since it uses less digits than its factorization.

130000441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887618 (or 3887610 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 130000441120 its reverse (21144000031), we get a palindrome (151144441151).

The spelling of 130000441120 in words is "one hundred thirty billion, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 152 160 176 190 209 220 304 352 380 418 440 608 760 836 880 1045 1520 1672 1760 2090 3040 3344 4180 6688 8360 16720 33440 3887573 7775146 15550292 19437865 31100584 38875730 42763303 62201168 73863887 77751460 85526606 124402336 147727774 155502920 171053212 213816515 295455548 311005840 342106424 369319435 427633030 590911096 622011680 684212848 738638870 812502757 855266060 1181822192 1368425696 1477277740 1625005514 1710532120 2363644384 2954555480 3250011028 3421064240 4062513785 5909110960 6500022056 6842128480 8125027570 11818221920 13000044112 16250055140 26000088224 32500110280 65000220560 130000441120