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130113023031 = 33891093891277
BaseRepresentation
bin111100100101101010…
…1110010110000110111
3110102211210121102002000
41321023111302300313
54112432413214111
6135434553350343
712254215306365
oct1711325626067
9412753542060
10130113023031
11501a9455aa2
12212727083b3
13c367427b74
1464244ca635
1535b7c3bc56
hex1e4b572c37

130113023031 has 64 divisors (see below), whose sum is σ = 197374320000. Its totient is φ = 84695694336.

The previous prime is 130113023009. The next prime is 130113023041. The reversal of 130113023031 is 130320311031.

It is a happy number.

130113023031 is a `hidden beast` number, since 1 + 301 + 1 + 302 + 30 + 31 = 666.

It is not a de Polignac number, because 130113023031 - 222 = 130108828727 is a prime.

It is a super-2 number, since 2×1301130230312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130113022995 and 130113023013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130113023041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101888965 + ... + 101890241.

It is an arithmetic number, because the mean of its divisors is an integer number (3083973750).

Almost surely, 2130113023031 is an apocalyptic number.

130113023031 is a deficient number, since it is larger than the sum of its proper divisors (67261296969).

130113023031 is a wasteful number, since it uses less digits than its factorization.

130113023031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1867 counting only the distinct ones).

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

Adding to 130113023031 its reverse (130320311031), we get a palindrome (260433334062).

The spelling of 130113023031 in words is "one hundred thirty billion, one hundred thirteen million, twenty-three thousand, thirty-one".

Divisors: 1 3 9 27 89 109 267 327 389 801 981 1167 1277 2403 2943 3501 3831 9701 10503 11493 29103 34479 34621 42401 87309 103863 113653 127203 139193 261927 311589 340959 381609 417579 496753 934767 1022877 1144827 1252737 1490259 3068631 3758211 3773689 4470777 11321067 12388177 13412331 33963201 37164531 44211017 54146077 101889603 111493593 132633051 162438231 334480779 397899153 487314693 1193697459 1461944079 4819000853 14457002559 43371007677 130113023031