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130013212 = 22717713847
BaseRepresentation
bin1111011111111…
…01100000011100
3100001122100121011
413233331200130
5231240410322
620522345004
73136044160
oct757754034
9301570534
10130013212
116743093a
123765b164
1320c217c4
14133a4ca0
15b632677
hex7bfd81c

130013212 has 48 divisors (see below), whose sum is σ = 279272448. Its totient is φ = 51690240.

The previous prime is 130013203. The next prime is 130013243. The reversal of 130013212 is 212310031.

It is a junction number, because it is equal to n+sod(n) for n = 130013192 and 130013201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31873 + ... + 35719.

It is an arithmetic number, because the mean of its divisors is an integer number (5818176).

Almost surely, 2130013212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130013212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139636224).

130013212 is an abundant number, since it is smaller than the sum of its proper divisors (149259236).

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

130013212 is a wasteful number, since it uses less digits than its factorization.

130013212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 130013212 is about 11402.3336207989. Note that the first 3 decimals coincide. The cubic root of 130013212 is about 506.5968626903.

Adding to 130013212 its reverse (212310031), we get a palindrome (342323243).

The spelling of 130013212 in words is "one hundred thirty million, thirteen thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 68 71 119 142 238 284 476 497 994 1207 1988 2414 3847 4828 7694 8449 15388 16898 26929 33796 53858 65399 107716 130798 261596 273137 457793 546274 915586 1092548 1831172 1911959 3823918 4643329 7647836 9286658 18573316 32503303 65006606 130013212