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133130010 = 235132979149
BaseRepresentation
bin1111110111101…
…10011100011010
3100021111201001010
413323312130122
5233040130020
621113234350
73204405066
oct773663432
9307451033
10133130010
116916a602
12387029b6
1321773370
1413976aa6
15ba4ade0
hex7ef671a

133130010 has 128 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 31030272.

The previous prime is 133129987. The next prime is 133130047. The reversal of 133130010 is 10031331.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 893416 + ... + 893564.

It is an arithmetic number, because the mean of its divisors is an integer number (2835000).

Almost surely, 2133130010 is an apocalyptic number.

133130010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133130010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

133130010 is an abundant number, since it is smaller than the sum of its proper divisors (229749990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133130010 is a wasteful number, since it uses less digits than its factorization.

133130010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 133130010 is about 11538.1978662181. The cubic root of 133130010 is about 510.6131418388.

Adding to 133130010 its reverse (10031331), we get a palindrome (143161341).

The spelling of 133130010 in words is "one hundred thirty-three million, one hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 79 87 130 145 149 158 174 195 237 290 298 377 390 395 435 447 474 745 754 790 870 894 1027 1131 1185 1490 1885 1937 2054 2235 2262 2291 2370 3081 3770 3874 4321 4470 4582 5135 5655 5811 6162 6873 8642 9685 10270 11310 11455 11622 11771 12963 13746 15405 19370 21605 22910 23542 25926 29055 29783 30810 34365 35313 43210 56173 58110 58855 59566 64815 68730 70626 89349 112346 117710 129630 148915 153023 168519 176565 178698 280865 297830 306046 337038 341359 353130 446745 459069 561730 682718 765115 842595 893490 918138 1024077 1530230 1685190 1706795 2048154 2295345 3413590 4437667 4590690 5120385 8875334 10240770 13313001 22188335 26626002 44376670 66565005 133130010