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131111332320 = 2535634343063
BaseRepresentation
bin111101000011011011…
…0000010100111100000
3110112102101002202222010
41322012312002213200
54122004000113240
6140122014512520
712321026636163
oct1720666024740
9415371082863
10131111332320
1150670a245a1
12214b0b05740
13c4961c2617
1464bad17ada
1536256d7280
hex1e86d829e0

131111332320 has 96 divisors (see below), whose sum is σ = 413075400192. Its totient is φ = 34956698112.

The previous prime is 131111332271. The next prime is 131111332333. The reversal of 131111332320 is 23233111131.

It is a happy number.

131111332320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3023109 + ... + 3066171.

It is an arithmetic number, because the mean of its divisors is an integer number (4302868752).

Almost surely, 2131111332320 is an apocalyptic number.

131111332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131111332320 is an abundant number, since it is smaller than the sum of its proper divisors (281964067872).

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

131111332320 is a wasteful number, since it uses less digits than its factorization.

131111332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49424 (or 49416 counting only the distinct ones).

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

Adding to 131111332320 its reverse (23233111131), we get a palindrome (154344443451).

It can be divided in two parts, 13111 and 1332320, that added together give a palindrome (1345431).

The spelling of 131111332320 in words is "one hundred thirty-one billion, one hundred eleven million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6343 12686 19029 25372 31715 38058 43063 50744 63430 76116 86126 95145 101488 126860 129189 152232 172252 190290 202976 215315 253720 258378 304464 344504 380580 430630 507440 516756 608928 645945 689008 761160 861260 1014880 1033512 1291890 1378016 1522320 1722520 2067024 2583780 3044640 3445040 4134048 5167560 6890080 10335120 20670240 273148609 546297218 819445827 1092594436 1365743045 1638891654 2185188872 2731486090 3277783308 4097229135 4370377744 5462972180 6555566616 8194458270 8740755488 10925944360 13111133232 16388916540 21851888720 26222266464 32777833080 43703777440 65555666160 131111332320