Search a number
-
+
30130120020 = 2235711131014967
BaseRepresentation
bin11100000011111001…
…010010010101010100
32212202211010200111010
4130003321102111110
5443201302320040
621501441012220
72114436536340
oct340371222524
985684120433
1030130120020
1111861738140
125a0a624070
132ac23233b0
14165b83a620
15bb527ce80
hex703e52554

30130120020 has 384 divisors, whose sum is σ = 114416934912. Its totient is φ = 5720832000.

The previous prime is 30130120019. The next prime is 30130120061. The reversal of 30130120020 is 2002103103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30130119978 and 30130120005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6063577 + ... + 6068543.

It is an arithmetic number, because the mean of its divisors is an integer number (297960768).

Almost surely, 230130120020 is an apocalyptic number.

30130120020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30130120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57208467456).

30130120020 is an abundant number, since it is smaller than the sum of its proper divisors (84286814892).

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

30130120020 is a wasteful number, since it uses less digits than its factorization.

30130120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30130120020 its reverse (2002103103), we get a palindrome (32132223123).

The spelling of 30130120020 in words is "thirty billion, one hundred thirty million, one hundred twenty thousand, twenty".