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12302113131 = 3271117999173
BaseRepresentation
bin10110111010100001…
…10101100101101011
31011202100121002122200
423131100311211223
5200143320110011
65352420551243
7613600144020
oct133520654553
934670532580
1012302113131
115243249750
122473b52523
1312109223a9
14849bc1547
154c004a856
hex2dd43596b

12302113131 has 48 divisors (see below), whose sum is σ = 22278447360. Its totient is φ = 6354941760.

The previous prime is 12302113123. The next prime is 12302113133. The reversal of 12302113131 is 13131120321.

It is not a de Polignac number, because 12302113131 - 23 = 12302113123 is a prime.

It is a super-2 number, since 2×123021131312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12302113133) 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 47 ways as a sum of consecutive naturals, for example, 74461 + ... + 173633.

It is an arithmetic number, because the mean of its divisors is an integer number (464134320).

Almost surely, 212302113131 is an apocalyptic number.

12302113131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12302113131 is a deficient number, since it is larger than the sum of its proper divisors (9976334229).

12302113131 is a wasteful number, since it uses less digits than its factorization.

12302113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99376 (or 99373 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12302113131 its reverse (13131120321), we get a palindrome (25433233452).

The spelling of 12302113131 in words is "twelve billion, three hundred two million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 179 231 537 693 1253 1611 1969 3759 5907 11277 13783 17721 41349 99173 124047 297519 694211 892557 1090903 2082633 3272709 6247899 7636321 9818127 17751967 22908963 53255901 68726889 124263769 159767703 195271637 372791307 585814911 1118373921 1366901459 1757444733 4100704377 12302113131