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30241131120 = 243251912831723
BaseRepresentation
bin11100001010100000…
…110000101001110000
32220001120000122002100
4130022200300221300
5443413212143440
621520444220400
72120255242014
oct341240605160
986046018070
1030241131120
111190936a452
125a3b83a700
132b0c320a35
14166c496544
15bbedaa230
hex70a830a70

30241131120 has 240 divisors, whose sum is σ = 107050469760. Its totient is φ = 7629479424.

The previous prime is 30241131119. The next prime is 30241131131. The reversal of 30241131120 is 2113114203.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×302411311202 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 30241131093 and 30241131102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17550579 + ... + 17552301.

It is an arithmetic number, because the mean of its divisors is an integer number (446043624).

Almost surely, 230241131120 is an apocalyptic number.

30241131120 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 30241131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53525234880).

30241131120 is an abundant number, since it is smaller than the sum of its proper divisors (76809338640).

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

30241131120 is a wasteful number, since it uses less digits than its factorization.

30241131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 30241131120 its reverse (2113114203), we get a palindrome (32354245323).

The spelling of 30241131120 in words is "thirty billion, two hundred forty-one million, one hundred thirty-one thousand, one hundred twenty".