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131345540124330 = 235741123112392363
BaseRepresentation
bin11101110111010101000100…
…010000110000111010101010
3122020001111210112010202100110
4131313111010100300322222
5114203431131232434310
61143203150320315150
736444254633102010
oct3567250420607252
9566044715122313
10131345540124330
113893a370257904
121289378b772ab6
135839aa6453b4c
14246122da148b0
15102b8eb54dd20
hex777544430eaa

131345540124330 has 128 divisors (see below), whose sum is σ = 369348758102016. Its totient is φ = 29265802099200.

The previous prime is 131345540124313. The next prime is 131345540124443. The reversal of 131345540124330 is 33421045543131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4402729 + ... + 16795091.

It is an arithmetic number, because the mean of its divisors is an integer number (2885537172672).

Almost surely, 2131345540124330 is an apocalyptic number.

131345540124330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131345540124330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184674379051008).

131345540124330 is an abundant number, since it is smaller than the sum of its proper divisors (238003217977686).

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

131345540124330 is a wasteful number, since it uses less digits than its factorization.

131345540124330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12393652.

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 131345540124330 its reverse (33421045543131), we get a palindrome (164766585667461).

The spelling of 131345540124330 in words is "one hundred thirty-one trillion, three hundred forty-five billion, five hundred forty million, one hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1231 1435 1722 2462 2870 3693 4305 6155 7386 8610 8617 12310 17234 18465 25851 36930 43085 50471 51702 86170 100942 129255 151413 252355 258510 302826 353297 504710 706594 757065 1059891 1514130 1766485 2119782 3532970 5299455 10598910 12392363 24784726 37177089 61961815 74354178 86746541 123923630 173493082 185885445 260239623 371770890 433732705 508086883 520479246 867465410 1016173766 1301198115 1524260649 2540434415 2602396230 3048521298 3556608181 5080868830 7113216362 7621303245 10669824543 15242606490 15254998853 17783040905 21339649086 30509997706 35566081810 45764996559 53349122715 76274994265 91529993118 106698245430 106784991971 152549988530 213569983942 228824982795 320354975913 457649965590 533924959855 625454952973 640709951826 1067849919710 1250909905946 1601774879565 1876364858919 3127274764865 3203549759130 3752729717838 4378184670811 6254549529730 8756369341622 9381824294595 13134554012433 18763648589190 21890923354055 26269108024866 43781846708110 65672770062165 131345540124330