Search a number
-
+
30121134030 = 232513200312853
BaseRepresentation
bin11100000011010111…
…000000011111001110
32212202012020011000200
4130003113000133032
5443142002242110
621500520234330
72114300262201
oct340327003716
985665204020
1030121134030
111185765a8a9
125a0760b9a6
132ac04c8240
14165a57b938
15bb45a56c0
hex7035c07ce

30121134030 has 96 divisors (see below), whose sum is σ = 84387846816. Its totient is φ = 7410154752.

The previous prime is 30121134013. The next prime is 30121134041. The reversal of 30121134030 is 3043112103.

30121134030 is a `hidden beast` number, since 301 + 21 + 1 + 340 + 3 + 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 = 30121133994 and 30121134012.

It is a congruent number.

It is an unprimeable number.

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, 2337084 + ... + 2349936.

It is an arithmetic number, because the mean of its divisors is an integer number (879040071).

Almost surely, 230121134030 is an apocalyptic number.

30121134030 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 30121134030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42193923408).

30121134030 is an abundant number, since it is smaller than the sum of its proper divisors (54266712786).

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

30121134030 is a wasteful number, since it uses less digits than its factorization.

30121134030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14882 (or 14879 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30121134030 its reverse (3043112103), we get a palindrome (33164246133).

It can be divided in two parts, 301211 and 34030, that added together give a square (335241 = 5792).

The spelling of 30121134030 in words is "thirty billion, one hundred twenty-one million, one hundred thirty-four 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 2003 4006 6009 10015 12018 12853 18027 20030 25706 26039 30045 36054 38559 52078 60090 64265 77118 78117 90135 115677 128530 130195 156234 167089 180270 192795 231354 234351 260390 334178 385590 390585 468702 501267 578385 781170 835445 1002534 1156770 1171755 1503801 1670890 2343510 2506335 3007602 5012670 7519005 15038010 25744559 51489118 77233677 128722795 154467354 231701031 257445590 334679267 386168385 463402062 669358534 772336770 1004037801 1158505155 1673396335 2008075602 2317010310 3012113403 3346792670 5020189005 6024226806 10040378010 15060567015 30121134030