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131424302230300 = 225229257509346439
BaseRepresentation
bin11101111000011110011010…
…110110010110101100011100
3122020100001002120221021222101
4131320132122312112230130
5114211223432332332200
61143303254013454444
736453043504001062
oct3570363266265434
9566301076837871
10131424302230300
113896a808425872
12128a6ab0aa1424
135844348c87391
142464d821d8032
15102d9aaee926a
hex77879ad96b1c

131424302230300 has 144 divisors (see below), whose sum is σ = 296755584552000. Its totient is φ = 50459997306880.

The previous prime is 131424302230283. The next prime is 131424302230421. The reversal of 131424302230300 is 3032203424131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379184481 + ... + 379530919.

It is an arithmetic number, because the mean of its divisors is an integer number (2060802670500).

Almost surely, 2131424302230300 is an apocalyptic number.

131424302230300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131424302230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148377792276000).

131424302230300 is an abundant number, since it is smaller than the sum of its proper divisors (165331282321700).

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

131424302230300 is a wasteful number, since it uses less digits than its factorization.

131424302230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347248 (or 347241 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 131424302230300 its reverse (3032203424131), we get a palindrome (134456505654431).

The spelling of 131424302230300 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, three hundred two million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 257 290 509 514 580 725 1018 1028 1285 1450 2036 2545 2570 2900 5090 5140 6425 7453 10180 12725 12850 14761 14906 25450 25700 29522 29812 37265 50900 59044 73805 74530 130813 147610 149060 186325 261626 295220 346439 369025 372650 523252 654065 692878 738050 745300 1308130 1385756 1476100 1732195 2616260 3270325 3464390 3793577 6540650 6928780 7587154 8660975 10046731 13081300 15174308 17321950 18967885 20093462 34643900 37935770 40186924 50233655 75871540 89034823 94839425 100467310 176337451 178069646 189678850 200934620 251168275 352674902 356139292 379357700 445174115 502336550 705349804 881687255 890348230 1004673100 1763374510 1780696460 2225870575 2582009867 3526749020 4408436275 4451741150 5113786079 5164019734 8816872550 8903482300 10227572158 10328039468 12910049335 17633745100 20455144316 25568930395 25820098670 45318724907 51137860790 51640197340 64550246675 90637449814 102275721580 127844651975 129100493350 181274899628 226593624535 255689303950 258200986700 453187249070 511378607900 906374498140 1132968122675 1314243022303 2265936245350 2628486044606 4531872490700 5256972089212 6571215111515 13142430223030 26284860446060 32856075557575 65712151115150 131424302230300