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130311132129 = 351015309503
BaseRepresentation
bin111100101011100100…
…1100001001111100001
3110110100121101101200000
41321113021201033201
54113334122212004
6135510351450213
712262142230053
oct1712711411741
9413317341600
10130311132129
11502a0267322
1221308b26969
13c39949c599
1464429398d3
1535ca320c39
hex1e572613e1

130311132129 has 24 divisors (see below), whose sum is σ = 197131264512. Its totient is φ = 86013932400.

The previous prime is 130311132097. The next prime is 130311132181. The reversal of 130311132129 is 921231113031.

130311132129 is a `hidden beast` number, since 1 + 3 + 0 + 311 + 1 + 321 + 29 = 666.

It is not a de Polignac number, because 130311132129 - 25 = 130311132097 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (130311132829) 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 23 ways as a sum of consecutive naturals, for example, 2630209 + ... + 2679294.

It is an arithmetic number, because the mean of its divisors is an integer number (8213802688).

Almost surely, 2130311132129 is an apocalyptic number.

It is an amenable number.

130311132129 is a deficient number, since it is larger than the sum of its proper divisors (66820132383).

130311132129 is an equidigital number, since it uses as much as digits as its factorization.

130311132129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309619 (or 5309607 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 130311132129 in words is "one hundred thirty billion, three hundred eleven million, one hundred thirty-two thousand, one hundred twenty-nine".

Divisors: 1 3 9 27 81 101 243 303 909 2727 8181 24543 5309503 15928509 47785527 143356581 430069743 536259803 1290209229 1608779409 4826338227 14479014681 43437044043 130311132129