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131350534334550 = 232521549188437751
BaseRepresentation
bin11101110111011001101101…
…111100001010100001010110
3122020001222200120121220211100
4131313121231330022201112
5114204021343242201200
61143205334043450530
736444522455143446
oct3567315574124126
9566058616556740
10131350534334550
11389414a336a973
1212894744226a46
13583a3c103631b
14246158500a126
15102badec0ed00
hex77766df0a856

131350534334550 has 72 divisors (see below), whose sum is σ = 353122925360400. Its totient is φ = 35004196440000.

The previous prime is 131350534334549. The next prime is 131350534334587. The reversal of 131350534334550 is 55433435053131.

131350534334550 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 5 + 0 + 53 + 43 + 3 + 4 + 550 = 666.

It is a super-2 number, since 2×1313505343345502 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131350534334496 and 131350534334505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93521826 + ... + 94915925.

It is an arithmetic number, because the mean of its divisors is an integer number (4904485074450).

Almost surely, 2131350534334550 is an apocalyptic number.

131350534334550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131350534334550 is an abundant number, since it is smaller than the sum of its proper divisors (221772391025850).

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

131350534334550 is a wasteful number, since it uses less digits than its factorization.

131350534334550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188439318 (or 188439310 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 45.

Adding to 131350534334550 its reverse (55433435053131), we get a palindrome (186783969387681).

The spelling of 131350534334550 in words is "one hundred thirty-one trillion, three hundred fifty billion, five hundred thirty-four million, three hundred thirty-four thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 1549 3098 4647 7745 9294 13941 15490 23235 27882 38725 46470 69705 77450 116175 139410 232350 348525 697050 188437751 376875502 565313253 942188755 1130626506 1695939759 1884377510 2826566265 3391879518 4710943775 5653132530 8479698795 9421887550 14132831325 16959397590 28265662650 42398493975 84796987950 291890076299 583780152598 875670228897 1459450381495 1751340457794 2627010686691 2918900762990 4378351144485 5254021373382 7297251907475 8756702288970 13135053433455 14594503814950 21891755722425 26270106866910 43783511444850 65675267167275 131350534334550