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130665213 = 32721729601
BaseRepresentation
bin1111100100111…
…00101011111101
3100002212110222100
413302130223331
5231422241323
620544335313
73144431100
oct762345375
9302773870
10130665213
1167836788
1237914539
13210bc4c3
14134d4737
15b710943
hex7c9cafd

130665213 has 72 divisors (see below), whose sum is σ = 240884280. Its totient is φ = 67737600.

The previous prime is 130665211. The next prime is 130665263. The reversal of 130665213 is 312566031.

130665213 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 652 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59397849 + 71267364 = 7707^2 + 8442^2 .

It is not a de Polignac number, because 130665213 - 21 = 130665211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130665211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 217113 + ... + 217713.

It is an arithmetic number, because the mean of its divisors is an integer number (3345615).

Almost surely, 2130665213 is an apocalyptic number.

It is an amenable number.

130665213 is a deficient number, since it is larger than the sum of its proper divisors (110219067).

130665213 is a wasteful number, since it uses less digits than its factorization.

130665213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 130665213 is about 11430.8885481401. Note that the first 3 decimals coincide. The cubic root of 130665213 is about 507.4422922889.

The spelling of 130665213 in words is "one hundred thirty million, six hundred sixty-five thousand, two hundred thirteen".

Divisors: 1 3 7 9 17 21 29 49 51 63 87 119 147 153 203 261 357 441 493 601 609 833 1071 1421 1479 1803 1827 2499 3451 4207 4263 4437 5409 7497 10217 10353 12621 12789 17429 24157 29449 30651 31059 37863 52287 71519 72471 88347 91953 122003 156861 214557 217413 265041 296293 366009 500633 643671 854021 888879 1098027 1501899 2074051 2562063 2666637 4505697 6222153 7686189 14518357 18666459 43555071 130665213