Search a number
-
+
130320102113130 = 23541105951302531
BaseRepresentation
bin11101101000011010000011…
…011001001011111101101010
3122002102110221222121110122110
4131220122003121023331222
5114040131032120110010
61141100121201103150
736310213421604006
oct3550320331137552
9562373858543573
10130320102113130
1138584499228666
1212748aaa627ab6
135794195c91c97
142427752da7706
15100edd1944120
hex76868364bf6a

130320102113130 has 32 divisors (see below), whose sum is σ = 320396738856768. Its totient is φ = 33904416809600.

The previous prime is 130320102113087. The next prime is 130320102113153. The reversal of 130320102113130 is 31311201023031.

It is a happy number.

It is a super-4 number, since 4×1303201021131304 (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130320102113097 and 130320102113106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52975650036 + ... + 52975652495.

It is an arithmetic number, because the mean of its divisors is an integer number (10012398089274).

Almost surely, 2130320102113130 is an apocalyptic number.

130320102113130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130320102113130 is an abundant number, since it is smaller than the sum of its proper divisors (190076636743638).

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

130320102113130 is a wasteful number, since it uses less digits than its factorization.

130320102113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105951302582.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 130320102113130 its reverse (31311201023031), we get a palindrome (161631303136161).

The spelling of 130320102113130 in words is "one hundred thirty trillion, three hundred twenty billion, one hundred two million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 105951302531 211902605062 317853907593 529756512655 635707815186 1059513025310 1589269537965 3178539075930 4344003403771 8688006807542 13032010211313 21720017018855 26064020422626 43440034037710 65160051056565 130320102113130