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131110757303240 = 2351113471741280121
BaseRepresentation
bin11101110011111010011010…
…000111011000001111001000
3122012020001210002211200101002
4131303322122013120033020
5114141104312332200430
61142503241141514132
736421303535045231
oct3563723207301710
9565201702750332
10131110757303240
113885983a4a1380
1212856187412948
1358208cac01640
142453b1a1dc088
151025759648845
hex773e9a1d83c8

131110757303240 has 256 divisors, whose sum is σ = 354150939018240. Its totient is φ = 43047945216000.

The previous prime is 131110757303209. The next prime is 131110757303269. The reversal of 131110757303240 is 42303757011131.

It is a junction number, because it is equal to n+sod(n) for n = 131110757303194 and 131110757303203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 467910380 + ... + 468190500.

It is an arithmetic number, because the mean of its divisors is an integer number (1383402105540).

Almost surely, 2131110757303240 is an apocalyptic number.

131110757303240 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 131110757303240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177075469509120).

131110757303240 is an abundant number, since it is smaller than the sum of its proper divisors (223040181715000).

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

131110757303240 is a wasteful number, since it uses less digits than its factorization.

131110757303240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281944 (or 281940 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The spelling of 131110757303240 in words is "one hundred thirty-one trillion, one hundred ten billion, seven hundred fifty-seven million, three hundred three thousand, two hundred forty".