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130135512331 = 1115597588519
BaseRepresentation
bin111100100110010101…
…1100101010100001011
3110102220100220222121001
41321030223211110023
54113004142343311
6135441115355431
712254610414016
oct1711453452413
9412810828531
10130135512331
11502101165a0
122127a152b77
13c36bca0346
1464274a237d
1535b9bd04c1
hex1e4cae550b

130135512331 has 8 divisors (see below), whose sum is σ = 142057094400. Its totient is φ = 118229110440.

The previous prime is 130135512313. The next prime is 130135512341. The reversal of 130135512331 is 133215531031.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130135512331 is a prime.

It is a super-2 number, since 2×1301355123312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 130135512331.

It is not an unprimeable number, because it can be changed into a prime (130135512301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3777111 + ... + 3811408.

It is an arithmetic number, because the mean of its divisors is an integer number (17757136800).

Almost surely, 2130135512331 is an apocalyptic number.

130135512331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130135512331 is a deficient number, since it is larger than the sum of its proper divisors (11921582069).

130135512331 is a wasteful number, since it uses less digits than its factorization.

130135512331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590089.

The product of its (nonzero) digits is 4050, while the sum is 28.

The spelling of 130135512331 in words is "one hundred thirty billion, one hundred thirty-five million, five hundred twelve thousand, three hundred thirty-one".

Divisors: 1 11 1559 17149 7588519 83473709 11830501121 130135512331