Search a number
-
+
1303230130110 = 2325233891618457
BaseRepresentation
bin10010111101101110100…
…100011010011110111110
311121120212100102001201200
4102331232210122132332
5132323003403130420
62434410132320330
7163104154221336
oct22755644323676
94546770361650
101303230130110
11462773484807
121906a91730a6
1395b8138522c
14471105780c6
1523d777c5b90
hex12f6e91a7be

1303230130110 has 96 divisors (see below), whose sum is σ = 3544811449920. Its totient is φ = 331563369984.

The previous prime is 1303230130019. The next prime is 1303230130117. The reversal of 1303230130110 is 110310323031.

It is a happy number.

1303230130110 is a `hidden beast` number, since 1 + 30 + 32 + 301 + 301 + 1 + 0 = 666.

It is a super-2 number, since 2×13032301301102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303230130117) 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, 3999 + ... + 1614458.

It is an arithmetic number, because the mean of its divisors is an integer number (36925119270).

Almost surely, 21303230130110 is an apocalyptic number.

1303230130110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303230130110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772405724960).

1303230130110 is an abundant number, since it is smaller than the sum of its proper divisors (2241581319810).

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

1303230130110 is a wasteful number, since it uses less digits than its factorization.

1303230130110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618882 (or 1618879 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1303230130110 its reverse (110310323031), we get a palindrome (1413540453141).

The spelling of 1303230130110 in words is "one trillion, three hundred three billion, two hundred thirty million, one hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 389 414 690 778 1035 1167 1945 2070 2334 3501 3890 5835 7002 8947 11670 17505 17894 26841 35010 44735 53682 80523 89470 134205 161046 268410 402615 805230 1618457 3236914 4855371 8092285 9710742 14566113 16184570 24276855 29132226 37224511 48553710 72830565 74449022 111673533 145661130 186122555 223347066 335020599 372245110 558367665 629579773 670041198 1116735330 1259159546 1675102995 1888739319 3147898865 3350205990 3777478638 5666217957 6295797730 9443696595 11332435914 14480334779 18887393190 28331089785 28960669558 43441004337 56662179570 72401673895 86882008674 130323013011 144803347790 217205021685 260646026022 434410043370 651615065055 1303230130110