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131231421130304 = 26112110831529027
BaseRepresentation
bin11101110101101010110010…
…001111010110011001000000
3122012122121020101010012102002
4131311222302033112121000
5114200043422302132204
61143034514350243132
736433104644463425
oct3565526217263100
9565577211105362
10131231421130304
11388a5a2a039600
12128756414b64a8
13582c0ba7a1491
1424598c5783d4c
15102896ca2891e
hex775ab23d6640

131231421130304 has 84 divisors (see below), whose sum is σ = 286264383631632. Its totient is φ = 59645224784640.

The previous prime is 131231421130279. The next prime is 131231421130309. The reversal of 131231421130304 is 403031124132131.

131231421130304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131231421130309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85062239 + ... + 86591265.

It is an arithmetic number, because the mean of its divisors is an integer number (3407909328948).

Almost surely, 2131231421130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131231421130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143132191815816).

131231421130304 is an abundant number, since it is smaller than the sum of its proper divisors (155032962501328).

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

131231421130304 is a wasteful number, since it uses less digits than its factorization.

131231421130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540144 (or 1540123 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 131231421130304 its reverse (403031124132131), we get a palindrome (534262545262435).

The spelling of 131231421130304 in words is "one hundred thirty-one trillion, two hundred thirty-one billion, four hundred twenty-one million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 11083 22166 44332 88664 121913 177328 243826 354656 487652 709312 975304 1341043 1529027 1950608 2682086 3058054 3901216 5364172 6116108 7802432 10728344 12232216 16819297 21456688 24464432 33638594 42913376 48928864 67277188 85826752 97857728 134554376 185012267 269108752 370024534 538217504 740049068 1076435008 1480098136 2960196272 5920392544 11840785088 16946206241 33892412482 67784824964 135569649928 186408268651 271139299856 372816537302 542278599712 745633074604 1084557199424 1491266149208 2050490955161 2982532298416 4100981910322 5965064596832 8201963820644 11930129193664 16403927641288 32807855282576 65615710565152 131231421130304