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130758901 = 7213233881
BaseRepresentation
bin1111100101100…
…11100011110101
3100010001020111021
413302303203311
5231433241101
620550341141
73145301200
oct762634365
9303036437
10130758901
11678a0109
123795a7b1
1321123040
141351a937
15b72d5a1
hex7cb38f5

130758901 has 24 divisors (see below), whose sum is σ = 164697624. Its totient is φ = 102896640.

The previous prime is 130758853. The next prime is 130758911. The reversal of 130758901 is 109857031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2480625 + 128278276 = 1575^2 + 11326^2 .

It is not a de Polignac number, because 130758901 - 225 = 97204469 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130758911) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 147981 + ... + 148861.

It is an arithmetic number, because the mean of its divisors is an integer number (6862401).

Almost surely, 2130758901 is an apocalyptic number.

It is an amenable number.

130758901 is a deficient number, since it is larger than the sum of its proper divisors (33938723).

130758901 is a wasteful number, since it uses less digits than its factorization.

130758901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 130758901 is about 11434.9858329602. The cubic root of 130758901 is about 507.5635433713.

The spelling of 130758901 in words is "one hundred thirty million, seven hundred fifty-eight thousand, nine hundred one".

Divisors: 1 7 13 49 91 233 637 881 1631 3029 6167 11417 11453 21203 43169 80171 148421 205273 561197 1436911 2668549 10058377 18679843 130758901