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130343031 = 32713612609
BaseRepresentation
bin1111100010011…
…10000001110111
3100002021010000200
413301032001313
5231331434111
620533411543
73141616560
oct761160167
9302233020
10130343031
1167636715
1237799bb3
1321008970
141344d167
15b69a256
hex7c4e077

130343031 has 48 divisors (see below), whose sum is σ = 235609920. Its totient is φ = 67599360.

The previous prime is 130342981. The next prime is 130343039.

130343031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130343031 - 221 = 128245879 is a prime.

It is a super-2 number, since 2×1303430312 = 33978611460533922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130342995 and 130343013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130343039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48655 + ... + 51263.

It is an arithmetic number, because the mean of its divisors is an integer number (4908540).

Almost surely, 2130343031 is an apocalyptic number.

130343031 is a deficient number, since it is larger than the sum of its proper divisors (105266889).

130343031 is a wasteful number, since it uses less digits than its factorization.

130343031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 130343031 is about 11416.7872451053. The cubic root of 130343031 is about 507.0248811943.

The spelling of 130343031 in words is "one hundred thirty million, three hundred forty-three thousand, thirty-one".

Divisors: 1 3 7 9 13 21 39 61 63 91 117 183 273 427 549 793 819 1281 2379 2609 3843 5551 7137 7827 16653 18263 23481 33917 49959 54789 101751 159149 164367 237419 305253 477447 712257 1114043 1432341 2068937 2136771 3342129 6206811 10026387 14482559 18620433 43447677 130343031