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130973141 = 1324367269
BaseRepresentation
bin1111100111001…
…11110111010101
3100010110010101002
413303213313111
5232012120031
620555113045
73150152615
oct763476725
9303403332
10130973141
1167a27072
1237a42785
1321199700
1413574a45
15b771ccb
hex7ce7dd5

130973141 has 24 divisors (see below), whose sum is σ = 147834720. Its totient is φ = 115891776.

The previous prime is 130973131. The next prime is 130973159. The reversal of 130973141 is 141379031.

It is a happy number.

It is not a de Polignac number, because 130973141 - 218 = 130710997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130973131) 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, 486755 + ... + 487023.

It is an arithmetic number, because the mean of its divisors is an integer number (6159780).

Almost surely, 2130973141 is an apocalyptic number.

It is an amenable number.

130973141 is a deficient number, since it is larger than the sum of its proper divisors (16861579).

130973141 is a wasteful number, since it uses less digits than its factorization.

130973141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 130973141 is about 11444.3497412479. The cubic root of 130973141 is about 507.8405954589.

The spelling of 130973141 in words is "one hundred thirty million, nine hundred seventy-three thousand, one hundred forty-one".

Divisors: 1 13 43 67 169 269 559 871 2881 3497 7267 11323 11567 18023 37453 45461 150371 234299 486889 774989 1954823 3045887 10074857 130973141