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30131111130 = 235237926997
BaseRepresentation
bin11100000011111101…
…000100010011011010
32212202220000001000220
4130003331010103122
5443202031024010
621501514140510
72114451135021
oct340375042332
985686001026
1030131111130
111186225483a
125a0aa21736
132ac25ac553
14165ba178b8
15bb53c6970
hex703f444da

30131111130 has 96 divisors (see below), whose sum is σ = 76436970624. Its totient is φ = 7587245952.

The previous prime is 30131111123. The next prime is 30131111149. The reversal of 30131111130 is 3111113103.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 4302792 + ... + 4309788.

It is an arithmetic number, because the mean of its divisors is an integer number (796218444).

Almost surely, 230131111130 is an apocalyptic number.

30131111130 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 30131111130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38218485312).

30131111130 is an abundant number, since it is smaller than the sum of its proper divisors (46305859494).

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

30131111130 is a wasteful number, since it uses less digits than its factorization.

30131111130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188 (or 7109 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 30131111130 its reverse (3111113103), we get a palindrome (33242224233).

The spelling of 30131111130 in words is "thirty billion, one hundred thirty-one million, one hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 79 115 138 158 230 237 345 395 474 690 790 1185 1817 2370 3634 5451 6241 6997 9085 10902 12482 13994 18170 18723 20991 27255 31205 34985 37446 41982 54510 62410 69970 93615 104955 143543 160931 187230 209910 287086 321862 430629 482793 552763 717715 804655 861258 965586 1105526 1435430 1609310 1658289 2153145 2413965 2763815 3316578 4306290 4827930 5527630 8291445 12713549 16582890 25427098 38140647 43668277 63567745 76281294 87336554 127135490 131004831 190703235 218341385 262009662 381406470 436682770 655024155 1004370371 1310048310 2008740742 3013111113 5021851855 6026222226 10043703710 15065555565 30131111130