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30313103301000 = 233253131637158269
BaseRepresentation
bin1101110010001110100011…
…10000010001100110001000
310222022220102021210110000200
412321013101300101212020
512433122213421113000
6144245351501332200
76246022646500362
oct671072160214610
9128286367713020
1030313103301000
119727795609333
123496a70b67060
1313bb689b6a9b0
1476b23a867d32
153787a79e2500
hex1b91d1c11988

30313103301000 has 384 divisors, whose sum is σ = 110407797208800. Its totient is φ = 7457081702400.

The previous prime is 30313103300999. The next prime is 30313103301031. The reversal of 30313103301000 is 10330131303.

30313103301000 is a `hidden beast` number, since 3 + 0 + 313 + 10 + 330 + 10 + 0 + 0 = 666.

30313103301000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 14033669791716 + 16279433509284 = 3746154^2 + 4034778^2 .

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

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 95 ways as a sum of consecutive naturals, for example, 191449866 + ... + 191608134.

Almost surely, 230313103301000 is an apocalyptic number.

30313103301000 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 30313103301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55203898604400).

30313103301000 is an abundant number, since it is smaller than the sum of its proper divisors (80094693907800).

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

30313103301000 is a wasteful number, since it uses less digits than its factorization.

30313103301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159946 (or 159929 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 30313103301000 its reverse (10330131303), we get a palindrome (30323433432303).

The spelling of 30313103301000 in words is "thirty trillion, three hundred thirteen billion, one hundred three million, three hundred one thousand".