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12342353130 = 234536741519
BaseRepresentation
bin10110111111010100…
…10101110011101010
31011212011022111120000
423133222111303222
5200234120300010
65400415243430
7614566161552
oct133752256352
934764274500
1012342353130
115263a33648
122485519576
131219071243
14851298162
154c38487c0
hex2dfa95cea

12342353130 has 80 divisors (see below), whose sum is σ = 33278446080. Its totient is φ = 3282247008.

The previous prime is 12342353129. The next prime is 12342353131. The reversal of 12342353130 is 3135324321.

12342353130 is a `hidden beast` number, since 1 + 2 + 342 + 3 + 5 + 313 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12342353129) and next prime (12342353131).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12342353094 and 12342353103.

It is not an unprimeable number, because it can be changed into a prime (12342353131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 276511 + ... + 318029.

It is an arithmetic number, because the mean of its divisors is an integer number (415980576).

Almost surely, 212342353130 is an apocalyptic number.

12342353130 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 12342353130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16639223040).

12342353130 is an abundant number, since it is smaller than the sum of its proper divisors (20936092950).

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

12342353130 is a wasteful number, since it uses less digits than its factorization.

12342353130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41905 (or 41896 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 12342353130 its reverse (3135324321), we get a palindrome (15477677451).

The spelling of 12342353130 in words is "twelve billion, three hundred forty-two million, three hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 367 405 734 810 1101 1835 2202 3303 3670 5505 6606 9909 11010 16515 19818 29727 33030 41519 49545 59454 83038 99090 124557 148635 207595 249114 297270 373671 415190 622785 747342 1121013 1245570 1868355 2242026 3363039 3736710 5605065 6726078 11210130 15237473 16815195 30474946 33630390 45712419 76187365 91424838 137137257 152374730 228562095 274274514 411411771 457124190 685686285 822823542 1234235313 1371372570 2057058855 2468470626 4114117710 6171176565 12342353130