Search a number
-
+
131021143324340 = 22529849772658349
BaseRepresentation
bin11101110010100110111100…
…101101001011011010110100
3122011220111110202022212122112
4131302212330231023122310
5114133122300142334330
61142354140551150152
736411652033562513
oct3562467455133264
9564814422285575
10131021143324340
1138824833768695
1212840937975358
135815319068019
14244d6586a667a
15102326211d795
hex7729bcb4b6b4

131021143324340 has 48 divisors (see below), whose sum is σ = 284635595538000. Its totient is φ = 50600654641152.

The previous prime is 131021143324339. The next prime is 131021143324349. The reversal of 131021143324340 is 43423341120131.

It can be written as a sum of positive squares in 8 ways, for example, as 7673553733924 + 123347589590416 = 2770118^2 + 11106196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131021143324297 and 131021143324306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131021143324349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47957486 + ... + 50615834.

It is an arithmetic number, because the mean of its divisors is an integer number (5929908240375).

Almost surely, 2131021143324340 is an apocalyptic number.

131021143324340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131021143324340 is an abundant number, since it is smaller than the sum of its proper divisors (153614452213660).

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

131021143324340 is a wasteful number, since it uses less digits than its factorization.

131021143324340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743364 (or 2743362 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 131021143324340 its reverse (43423341120131), we get a palindrome (174444484444471).

The spelling of 131021143324340 in words is "one hundred thirty-one trillion, twenty-one billion, one hundred forty-three million, three hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 84977 169954 339908 424885 849770 1699540 2464333 2658349 4928666 5316698 9857332 10633396 12321665 13291745 24643330 26583490 49286660 53166980 77092121 154184242 308368484 385460605 770921210 1541842420 225898522973 451797045946 903594091892 1129492614865 2258985229730 4517970459460 6551057166217 13102114332434 26204228664868 32755285831085 65510571662170 131021143324340