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131350415345550 = 232522161135071639
BaseRepresentation
bin11101110111011001100110…
…110110010000011110001110
3122020001222101021201122121100
4131313121212312100132032
5114204021122312024200
61143205314153243530
736444516511562652
oct3567314666203616
9566058337648540
10131350415345550
1138941442189755
12128947104035a6
13583a3a24a462b
1424615732b4a62
15102bad4558d00
hex777666d9078e

131350415345550 has 72 divisors (see below), whose sum is σ = 353058086787120. Its totient is φ = 35010568569600.

The previous prime is 131350415345549. The next prime is 131350415345749. The reversal of 131350415345550 is 55543514053131.

131350415345550 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 5 + 0 + 4 + 1 + 53 + 45 + 550 = 666.

It is a super-2 number, since 2×1313504153455502 (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 junction number, because it is equal to n+sod(n) for n = 131350415345496 and 131350415345505.

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, 66563370 + ... + 68508269.

It is an arithmetic number, because the mean of its divisors is an integer number (4903584538710).

Almost surely, 2131350415345550 is an apocalyptic number.

131350415345550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131350415345550 is an abundant number, since it is smaller than the sum of its proper divisors (221707671441570).

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

131350415345550 is a wasteful number, since it uses less digits than its factorization.

131350415345550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135073818 (or 135073810 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

Adding to 131350415345550 its reverse (55543514053131), we get a palindrome (186893929398681).

The spelling of 131350415345550 in words is "one hundred thirty-one trillion, three hundred fifty billion, four hundred fifteen million, three hundred forty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 2161 4322 6483 10805 12966 19449 21610 32415 38898 54025 64830 97245 108050 162075 194490 324150 486225 972450 135071639 270143278 405214917 675358195 810429834 1215644751 1350716390 2026074585 2431289502 3376790975 4052149170 6078223755 6753581950 10130372925 12156447510 20260745850 30391118775 60782237550 291889811879 583779623758 875669435637 1459449059395 1751338871274 2627008306911 2918898118790 4378347178185 5254016613822 7297245296975 8756694356370 13135041534555 14594490593950 21891735890925 26270083069110 43783471781850 65675207672775 131350415345550