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30241103430 = 2352993737097
BaseRepresentation
bin11100001010100000…
…101001111001000110
32220001112222020002210
4130022200221321012
5443413210302210
621520443444250
72120255065206
oct341240517106
986045866083
1030241103430
111190935066a
125a3b826686
132b0c311255
14166c48a406
15bbeda1e20
hex70a829e46

30241103430 has 64 divisors (see below), whose sum is σ = 75163515840. Its totient is φ = 7777695744.

The previous prime is 30241103413. The next prime is 30241103467. The reversal of 30241103430 is 3430114203.

30241103430 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 30241103397 and 30241103406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 796642 + ... + 833738.

It is an arithmetic number, because the mean of its divisors is an integer number (1174429935).

Almost surely, 230241103430 is an apocalyptic number.

30241103430 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 30241103430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37581757920).

30241103430 is an abundant number, since it is smaller than the sum of its proper divisors (44922412410).

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

30241103430 is a wasteful number, since it uses less digits than its factorization.

30241103430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38073.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30241103430 its reverse (3430114203), we get a palindrome (33671217633).

The spelling of 30241103430 in words is "thirty billion, two hundred forty-one million, one hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 937 1874 2811 4685 5622 9370 14055 27173 28110 37097 54346 74194 81519 111291 135865 163038 185485 222582 271730 370970 407595 556455 815190 1075813 1112910 2151626 3227439 5379065 6454878 10758130 16137195 32274390 34759889 69519778 104279667 173799445 208559334 347598890 521398335 1008036781 1042796670 2016073562 3024110343 5040183905 6048220686 10080367810 15120551715 30241103430