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131113120032240 = 24351127414845661
BaseRepresentation
bin11101110011111100100110…
…111100011110010111110000
3122012020021212202201202020120
4131303330212330132113300
5114141124132212012430
61142504311423210240
736421416224651043
oct3563744674362760
9565207782652216
10131113120032240
113885a842167675
1212856726746980
135820bb656a938
142453ca1d18c5a
151025846cab610
hex773f26f1e5f0

131113120032240 has 80 divisors (see below), whose sum is σ = 406454361151776. Its totient is φ = 34963181337600.

The previous prime is 131113120032199. The next prime is 131113120032253. The reversal of 131113120032240 is 42230021311131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131113120032240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24635010 + ... + 29480670.

Almost surely, 2131113120032240 is an apocalyptic number.

131113120032240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131113120032240 is an abundant number, since it is smaller than the sum of its proper divisors (275341241119536).

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

131113120032240 is a wasteful number, since it uses less digits than its factorization.

131113120032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958418 (or 4958412 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131113120032240 its reverse (42230021311131), we get a palindrome (173343141343371).

The spelling of 131113120032240 in words is "one hundred thirty-one trillion, one hundred thirteen billion, one hundred twenty million, thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 112741 225482 338223 450964 563705 676446 901928 1127410 1352892 1691115 1803856 2254820 2705784 3382230 4509640 4845661 5411568 6764460 9019280 9691322 13528920 14536983 19382644 24228305 27057840 29073966 38765288 48456610 58147932 72684915 77530576 96913220 116295864 145369830 193826440 232591728 290739660 387652880 581479320 1162958640 546304666801 1092609333602 1638914000403 2185218667204 2731523334005 3277828000806 4370437334408 5463046668010 6555656001612 8194570002015 8740874668816 10926093336020 13111312003224 16389140004030 21852186672040 26222624006448 32778280008060 43704373344080 65556560016120 131113120032240