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131121305015310 = 232513710634331307
BaseRepresentation
bin11101110100000100001110…
…110011101101010000001110
3122012021002000012012222012200
4131310010032303231100032
5114141242413040442220
61142512143531542330
736422126113112331
oct3564041663552016
9565232005188180
10131121305015310
11388632623a0595
121285822b8ba9a6
1358218bc20aa9c
14245443adb6618
151025b75646890
hex77410eced40e

131121305015310 has 48 divisors (see below), whose sum is σ = 343403826597936. Its totient is φ = 34710457382784.

The previous prime is 131121305015257. The next prime is 131121305015321. The reversal of 131121305015310 is 13510503121131.

131121305015310 is a `hidden beast` number, since 1 + 3 + 1 + 12 + 130 + 501 + 5 + 3 + 10 = 666.

It is a super-2 number, since 2×1311213050153102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5317153324 + ... + 5317177983.

It is an arithmetic number, because the mean of its divisors is an integer number (7154246387457).

Almost surely, 2131121305015310 is an apocalyptic number.

131121305015310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131121305015310 is an abundant number, since it is smaller than the sum of its proper divisors (212282521582626).

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

131121305015310 is a wasteful number, since it uses less digits than its factorization.

131121305015310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10634331457 (or 10634331454 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

Adding to 131121305015310 its reverse (13510503121131), we get a palindrome (144631808136441).

The spelling of 131121305015310 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, three hundred five million, fifteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1370 2055 2466 4110 6165 12330 10634331307 21268662614 31902993921 53171656535 63805987842 95708981763 106343313070 159514969605 191417963526 319029939210 478544908815 957089817630 1456903389059 2913806778118 4370710167177 7284516945295 8741420334354 13112130501531 14569033890590 21853550835885 26224261003062 43707101671770 65560652507655 131121305015310