Search a number
-
+
30110240412 = 223278910712547
BaseRepresentation
bin11100000010101101…
…011100111010011100
32212201102201200210100
4130002231130322130
5443131210143122
621455450541100
72114105551320
oct340255347234
985642650710
1030110240412
111185149a30a
125a03a37790
132abb182a05
141658d43980
15bb3652aac
hex702b5ce9c

30110240412 has 144 divisors (see below), whose sum is σ = 88791655680. Its totient is φ = 8426094336.

The previous prime is 30110240299. The next prime is 30110240429. The reversal of 30110240412 is 21404201103.

30110240412 is a `hidden beast` number, since 3 + 0 + 1 + 10 + 240 + 412 = 666.

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

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, 2393523 + ... + 2406069.

It is an arithmetic number, because the mean of its divisors is an integer number (616608720).

Almost surely, 230110240412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30110240412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44395827840).

30110240412 is an abundant number, since it is smaller than the sum of its proper divisors (58681415268).

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

30110240412 is a wasteful number, since it uses less digits than its factorization.

30110240412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12760 (or 12755 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 30110240412 its reverse (21404201103), we get a palindrome (51514441515).

The spelling of 30110240412 in words is "thirty billion, one hundred ten million, two hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 107 126 178 214 252 267 321 356 428 534 623 642 749 801 963 1068 1246 1284 1498 1602 1869 1926 2247 2492 2996 3204 3738 3852 4494 5607 6741 7476 8988 9523 11214 12547 13482 19046 22428 25094 26964 28569 37641 38092 50188 57138 66661 75282 85707 87829 112923 114276 133322 150564 171414 175658 199983 225846 263487 266644 342828 351316 399966 451692 526974 599949 790461 799932 1053948 1116683 1199898 1342529 1580922 2233366 2399796 2685058 3161844 3350049 4027587 4466732 5370116 6700098 7816781 8055174 9397703 10050147 12082761 13400196 15633562 16110348 18795406 20100294 23450343 24165522 28193109 31267124 37590812 40200588 46900686 48331044 56386218 70351029 84579327 93801372 112772436 119485081 140702058 169158654 238970162 281404116 338317308 358455243 477940324 716910486 836395567 1075365729 1433820972 1672791134 2150731458 2509186701 3345582268 4301462916 5018373402 7527560103 10036746804 15055120206 30110240412