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131222110043040 = 25351999136758077
BaseRepresentation
bin11101110101100010000111…
…010000010111101110100000
3122012121201012110122221220020
4131311202013100113232200
5114144420340132334130
61143030334413313440
736432325133524422
oct3565420720275640
9565551173587806
10131222110043040
11388a1a91190965
1212873883195880
13582b2657409a3
142459280d10812
1510285c539ce10
hex775887417ba0

131222110043040 has 96 divisors (see below), whose sum is σ = 413556427872000. Its totient is φ = 34975057388544.

The previous prime is 131222110043027. The next prime is 131222110043119. The reversal of 131222110043040 is 40340011222131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131222110043040.

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 15 ways as a sum of consecutive naturals, for example, 67419519 + ... + 69338558.

It is an arithmetic number, because the mean of its divisors is an integer number (4307879457000).

Almost surely, 2131222110043040 is an apocalyptic number.

131222110043040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131222110043040 is an abundant number, since it is smaller than the sum of its proper divisors (282334317828960).

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

131222110043040 is a wasteful number, since it uses less digits than its factorization.

131222110043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136760094 (or 136760086 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131222110043040 its reverse (40340011222131), we get a palindrome (171562121265171).

The spelling of 131222110043040 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, one hundred ten million, forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1999 3998 5997 7996 9995 11994 15992 19990 23988 29985 31984 39980 47976 59970 63968 79960 95952 119940 159920 191904 239880 319840 479760 959520 136758077 273516154 410274231 547032308 683790385 820548462 1094064616 1367580770 1641096924 2051371155 2188129232 2735161540 3282193848 4102742310 4376258464 5470323080 6564387696 8205484620 10940646160 13128775392 16410969240 21881292320 32821938480 65643876960 273379395923 546758791846 820138187769 1093517583692 1366896979615 1640276375538 2187035167384 2733793959230 3280552751076 4100690938845 4374070334768 5467587918460 6561105502152 8201381877690 8748140669536 10935175836920 13122211004304 16402763755380 21870351673840 26244422008608 32805527510760 43740703347680 65611055021520 131222110043040