Search a number
-
+
30133412120 = 2357155969031
BaseRepresentation
bin11100000100000101…
…110110000100011000
32212210001022221101202
4130010011312010120
5443203123141440
621502035333332
72114506530320
oct340405660430
985701287352
1030133412120
1111863586589
125a0b751248
132ac2c06996
14165c056280
15bb56cd615
hex704176118

30133412120 has 64 divisors (see below), whose sum is σ = 77536742400. Its totient is φ = 10324679040.

The previous prime is 30133412087. The next prime is 30133412123. The reversal of 30133412120 is 2121433103.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30133412092 and 30133412101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30133412123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402005 + ... + 471035.

It is an arithmetic number, because the mean of its divisors is an integer number (1211511600).

Almost surely, 230133412120 is an apocalyptic number.

It is an amenable number.

30133412120 is an abundant number, since it is smaller than the sum of its proper divisors (47403330280).

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

30133412120 is a wasteful number, since it uses less digits than its factorization.

30133412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70608 (or 70604 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 30133412120 its reverse (2121433103), we get a palindrome (32254845223).

The spelling of 30133412120 in words is "thirty billion, one hundred thirty-three million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1559 3118 6236 7795 10913 12472 15590 21826 31180 43652 54565 62360 69031 87304 109130 138062 218260 276124 345155 436520 483217 552248 690310 966434 1380620 1932868 2416085 2761240 3865736 4832170 9664340 19328680 107619329 215238658 430477316 538096645 753335303 860954632 1076193290 1506670606 2152386580 3013341212 3766676515 4304773160 6026682424 7533353030 15066706060 30133412120