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11300310232321 = 11172107110330119
BaseRepresentation
bin1010010001110000111011…
…1110100010110100000001
31111000022002001100010210111
42210130032332202310001
52440121013404413241
640011142454031321
72244264136063255
oct244341676426401
944008061303714
1011300310232321
113667486589360
1213260ab048541
1363c7cb5c3c86
142b0d1b992265
15148e311e8c81
hexa470efa2d01

11300310232321 has 48 divisors (see below), whose sum is σ = 13230230722560. Its totient is φ = 9569351179520.

The previous prime is 11300310232313. The next prime is 11300310232327. The reversal of 11300310232321 is 12323201300311.

It is not a de Polignac number, because 11300310232321 - 23 = 11300310232313 is a prime.

It is a super-2 number, since 2×113003102323212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11300310232292 and 11300310232301.

It is not an unprimeable number, because it can be changed into a prime (11300310232327) 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, 375173700 + ... + 375203818.

It is an arithmetic number, because the mean of its divisors is an integer number (275629806720).

Almost surely, 211300310232321 is an apocalyptic number.

11300310232321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11300310232321 is a deficient number, since it is larger than the sum of its proper divisors (1929920490239).

11300310232321 is a wasteful number, since it uses less digits than its factorization.

11300310232321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31374 (or 31357 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 11300310232321 its reverse (12323201300311), we get a palindrome (23623511532632).

The spelling of 11300310232321 in words is "eleven trillion, three hundred billion, three hundred ten million, two hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 11 17 107 187 289 1103 1177 1819 3179 12133 18751 20009 30119 30923 118021 206261 318767 331309 340153 512023 1298231 2006357 3222733 3506437 5632253 8704391 22069927 33221257 34108069 35450063 54786461 95748301 365433827 375188759 564761369 602651071 931369837 3554674499 6212375059 9600943273 10245068207 39101419489 60429466483 105610376003 664724131313 1027300930211 11300310232321