Search a number
-
+
131301233120020 = 22513767371203801
BaseRepresentation
bin11101110110101011110011…
…010110111101001100010100
3122012220021102200200201122211
4131312223303112331030110
5114202214411134320040
61143130542003403204
736441125646553225
oct3566536326751424
9565807380621584
10131301233120020
11389225a4097777
1212887085383504
135835864c9bc32
14245d02941924c
15102a6a689c8ea
hex776af35bd314

131301233120020 has 48 divisors (see below), whose sum is σ = 278157937328208. Its totient is φ = 52059661516800.

The previous prime is 131301233119999. The next prime is 131301233120069. The reversal of 131301233120020 is 20021332103131.

It can be written as a sum of positive squares in 8 ways, for example, as 52407113476 + 131248826006544 = 228926^2 + 11456388^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131301233119973 and 131301233120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33757881 + ... + 37445920.

It is an arithmetic number, because the mean of its divisors is an integer number (5794957027671).

Almost surely, 2131301233120020 is an apocalyptic number.

131301233120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131301233120020 is an abundant number, since it is smaller than the sum of its proper divisors (146856704208188).

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

131301233120020 is a wasteful number, since it uses less digits than its factorization.

131301233120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71204620 (or 71204618 counting only the distinct ones).

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

Adding to 131301233120020 its reverse (20021332103131), we get a palindrome (151322565223151).

The spelling of 131301233120020 in words is "one hundred thirty-one trillion, three hundred one billion, two hundred thirty-three million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 137 274 548 673 685 1346 1370 2692 2740 3365 6730 13460 92201 184402 368804 461005 922010 1844020 71203801 142407602 284815204 356019005 712038010 1424076020 9754920737 19509841474 39019682948 47920158073 48774603685 95840316146 97549207370 191680632292 195098414740 239600790365 479201580730 958403161460 6565061656001 13130123312002 26260246624004 32825308280005 65650616560010 131301233120020