Search a number
-
+
130332210011311 = 72112293672877143
BaseRepresentation
bin11101101000100101010101…
…000101001001110010101111
3122002110122012210202102110211
4131220211111011021302233
5114040330331230330221
61141105442443243251
736311122443206500
oct3550452505116257
9562418183672424
10130332210011311
1138589641885790
121274b309519527
1357953755a4289
142428181070ba7
15101038e8c96e1
hex768955149caf

130332210011311 has 48 divisors (see below), whose sum is σ = 166568684221440. Its totient is φ = 100838533158720.

The previous prime is 130332210011303. The next prime is 130332210011357. The reversal of 130332210011311 is 113110012233031.

It is not a de Polignac number, because 130332210011311 - 23 = 130332210011303 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130332210011111) 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, 43860606 + ... + 46737748.

It is an arithmetic number, because the mean of its divisors is an integer number (3470180921280).

Almost surely, 2130332210011311 is an apocalyptic number.

130332210011311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130332210011311 is a deficient number, since it is larger than the sum of its proper divisors (36236474210129).

130332210011311 is a wasteful number, since it uses less digits than its factorization.

130332210011311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877764 (or 2877757 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 130332210011311 its reverse (113110012233031), we get a palindrome (243442222244342).

The spelling of 130332210011311 in words is "one hundred thirty trillion, three hundred thirty-two billion, two hundred ten million, eleven thousand, three hundred eleven".

Divisors: 1 7 11 49 77 229 367 539 1603 2519 2569 4037 11221 17633 17983 28259 84043 123431 197813 588301 924473 2877143 4118107 6471311 20140001 31648573 45299177 140980007 221540011 658865747 1055911481 1550780077 4612060229 7247523217 7391380367 11615026291 32284421603 50732662519 51739662569 81305184037 241803729149 355128637633 569136288259 1692626104043 2659841020639 11848382728301 18618887144473 130332210011311