Search a number
-
+
30141313222020 = 2235711132211122697
BaseRepresentation
bin1101101101001110100100…
…10001001000010110000100
310221201110222221110020011220
412312213102101020112010
512422313402141101040
6144034421140000340
76230431561065150
oct666472221102604
9127643887406156
1030141313222020
11967094a593350
1234697089900b0
1313a84100b84a0
14762bc117c060
153740a0e4d2d0
hex1b69d2448584

30141313222020 has 384 divisors, whose sum is σ = 113324592955392. Its totient is φ = 5780834611200.

The previous prime is 30141313222001. The next prime is 30141313222123. The reversal of 30141313222020 is 2022231314103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1327975312 + ... + 1327998008.

It is an arithmetic number, because the mean of its divisors is an integer number (295116127488).

Almost surely, 230141313222020 is an apocalyptic number.

30141313222020 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 30141313222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56662296477696).

30141313222020 is an abundant number, since it is smaller than the sum of its proper divisors (83183279733372).

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

30141313222020 is a wasteful number, since it uses less digits than its factorization.

30141313222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44851 (or 44849 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 30141313222020 its reverse (2022231314103), we get a palindrome (32163544536123).

The spelling of 30141313222020 in words is "thirty trillion, one hundred forty-one billion, three hundred thirteen million, two hundred twenty-two thousand, twenty".