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133107030 = 23357210061
BaseRepresentation
bin1111110111100…
…00110101010110
3100021110112112000
413323300311112
5233033411110
621112540130
73204251100
oct773606526
9307415460
10133107030
1169154311
12386b1646
1321765a74
141396c570
15ba441c0
hex7ef0d56

133107030 has 96 divisors (see below), whose sum is σ = 412944480. Its totient is φ = 30421440.

The previous prime is 133107011. The next prime is 133107031. The reversal of 133107030 is 30701331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133106994 and 133107012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133107031) 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 47 ways as a sum of consecutive naturals, for example, 8200 + ... + 18260.

It is an arithmetic number, because the mean of its divisors is an integer number (4301505).

Almost surely, 2133107030 is an apocalyptic number.

133107030 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 133107030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206472240).

133107030 is an abundant number, since it is smaller than the sum of its proper divisors (279837450).

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

133107030 is a wasteful number, since it uses less digits than its factorization.

133107030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10091 (or 10078 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 133107030 is about 11537.2020004852. The cubic root of 133107030 is about 510.5837606217.

Adding to 133107030 its reverse (30701331), we get a palindrome (163808361).

The spelling of 133107030 in words is "one hundred thirty-three million, one hundred seven thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1323 1470 1890 2205 2646 4410 6615 10061 13230 20122 30183 50305 60366 70427 90549 100610 140854 150915 181098 211281 271647 301830 352135 422562 452745 492989 543294 633843 704270 905490 985978 1056405 1267686 1358235 1478967 1901529 2112810 2464945 2716470 2957934 3169215 3803058 4436901 4929890 6338430 7394835 8873802 9507645 13310703 14789670 19015290 22184505 26621406 44369010 66553515 133107030