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30233103030 = 232513169315263
BaseRepresentation
bin11100001010000010…
…001000101010110110
32220000222220202121200
4130022002020222312
5443404133244110
621520000153330
72120130064344
oct341202105266
986028822550
1030233103030
1111904886869
125a39008846
132b0a76c8a0
14166b3a6994
15bbe3216c0
hex70a088ab6

30233103030 has 96 divisors (see below), whose sum is σ = 84708239616. Its totient is φ = 7437111552.

The previous prime is 30233103023. The next prime is 30233103049. The reversal of 30233103030 is 3030133203.

30233103030 is a `hidden beast` number, since 30 + 2 + 331 + 0 + 303 + 0 = 666.

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 = 30233102994 and 30233103012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1973179 + ... + 1988441.

It is an arithmetic number, because the mean of its divisors is an integer number (882377496).

Almost surely, 230233103030 is an apocalyptic number.

30233103030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30233103030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42354119808).

30233103030 is an abundant number, since it is smaller than the sum of its proper divisors (54475136586).

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

30233103030 is a wasteful number, since it uses less digits than its factorization.

30233103030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16982 (or 16979 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 30233103030 its reverse (3030133203), we get a palindrome (33263236233).

The spelling of 30233103030 in words is "thirty billion, two hundred thirty-three million, one hundred three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1693 3386 5079 8465 10158 15237 15263 16930 22009 25395 30474 30526 44018 45789 50790 66027 76185 76315 91578 110045 132054 137367 152370 152630 198081 198419 220090 228945 274734 330135 396162 396838 457890 595257 660270 686835 990405 992095 1190514 1373670 1785771 1980810 1984190 2976285 3571542 5952570 8928855 17857710 25840259 51680518 77520777 129201295 155041554 232562331 258402590 335923367 387603885 465124662 671846734 775207770 1007770101 1162811655 1679616835 2015540202 2325623310 3023310303 3359233670 5038850505 6046620606 10077701010 15116551515 30233103030