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12130002516 = 2235337975023
BaseRepresentation
bin10110100110000000…
…10010011001010100
31011022100201222021110
423103000102121110
5144320240040031
65323352015020
7606410214552
oct132300223124
934270658243
1012130002516
115165085475
122426391470
1311b40814a8
14830dbcbd2
154aed9ec46
hex2d3012654

12130002516 has 48 divisors (see below), whose sum is σ = 28850701824. Its totient is φ = 3965210496.

The previous prime is 12130002497. The next prime is 12130002529. The reversal of 12130002516 is 61520003121.

It is a super-2 number, since 2×121300025162 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12130002492 and 12130002501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2412381 + ... + 2417403.

It is an arithmetic number, because the mean of its divisors is an integer number (601056288).

Almost surely, 212130002516 is an apocalyptic number.

It is an amenable number.

12130002516 is an abundant number, since it is smaller than the sum of its proper divisors (16720699308).

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

12130002516 is a wasteful number, since it uses less digits than its factorization.

12130002516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880 (or 8878 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 12130002516 its reverse (61520003121), we get a palindrome (73650005637).

The spelling of 12130002516 in words is "twelve billion, one hundred thirty million, two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 3797 5023 7594 10046 11391 15069 15188 20092 22782 30138 45564 60276 201241 266219 402482 532438 603723 798657 804964 1064876 1207446 1597314 2414892 3194628 19072331 38144662 57216993 76289324 114433986 228867972 1010833543 2021667086 3032500629 4043334172 6065001258 12130002516