Search a number
-
+
130410435441 = 31113812337423
BaseRepresentation
bin111100101110100010…
…0010101001101110001
3110110121112020112012110
41321131010111031301
54114040032413231
6135524300115533
712264456261066
oct1713504251561
9413545215173
10130410435441
1150341322380
1221336235ba9
13c3b3c2ac40
146451bc8c6d
1535d3dd9046
hex1e5d115371

130410435441 has 32 divisors (see below), whose sum is σ = 204309891072. Its totient is φ = 72945956160.

The previous prime is 130410435427. The next prime is 130410435473. The reversal of 130410435441 is 144534014031.

It is not a de Polignac number, because 130410435441 - 29 = 130410434929 is a prime.

It is a super-2 number, since 2×1304104354412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130410435399 and 130410435408.

It is not an unprimeable number, because it can be changed into a prime (130410435401) 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, 3466056 + ... + 3503478.

It is an arithmetic number, because the mean of its divisors is an integer number (6384684096).

Almost surely, 2130410435441 is an apocalyptic number.

130410435441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130410435441 is a deficient number, since it is larger than the sum of its proper divisors (73899455631).

130410435441 is a wasteful number, since it uses less digits than its factorization.

130410435441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45573.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 130410435441 its reverse (144534014031), we get a palindrome (274944449472).

The spelling of 130410435441 in words is "one hundred thirty billion, four hundred ten million, four hundred thirty-five thousand, four hundred forty-one".

Divisors: 1 3 11 13 33 39 143 429 8123 24369 37423 89353 105599 112269 268059 316797 411653 486499 1161589 1234959 1459497 3484767 5351489 16054467 303987029 911961087 3343857319 3951831377 10031571957 11855494131 43470145147 130410435441