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103035051144 = 233237283713633
BaseRepresentation
bin101111111110101011…
…1100001110010001000
3100211221200121220201100
41133331113201302020
53142003433114034
6115200022421400
710305206325054
oct1377527416210
9324850556640
10103035051144
113a773666a33
1217b76291860
1399405470ac
144db618cc64
152a30904099
hex17fd5e1c88

103035051144 has 96 divisors (see below), whose sum is σ = 286717293720. Its totient is φ = 33402544128.

The previous prime is 103035051143. The next prime is 103035051167. The reversal of 103035051144 is 441150530301.

It is a happy number.

103035051144 is a `hidden beast` number, since 10 + 3 + 0 + 3 + 505 + 1 + 144 = 666.

103035051144 is digitally balanced in base 3, 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 4 ways, for example, as 90342324900 + 12692726244 = 300570^2 + 112662^2 .

It is not an unprimeable number, because it can be changed into a prime (103035051143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7550952 + ... + 7564584.

Almost surely, 2103035051144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103035051144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143358646860).

103035051144 is an abundant number, since it is smaller than the sum of its proper divisors (183682242576).

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

103035051144 is a wasteful number, since it uses less digits than its factorization.

103035051144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16519 (or 16512 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 103035051144 its reverse (441150530301), we get a palindrome (544185581445).

The spelling of 103035051144 in words is "one hundred three billion, thirty-five million, fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 2837 5674 8511 11348 13633 17022 22696 25533 27266 34044 40899 51066 54532 68088 81798 102132 104969 109064 122697 163596 204264 209938 245394 314907 327192 419876 490788 504421 629814 839752 944721 981576 1008842 1259628 1513263 1889442 2017684 2519256 3026526 3778884 4035368 4539789 6053052 7557768 9079578 12106104 18159156 36318312 38676821 77353642 116030463 154707284 232060926 309414568 348091389 464121852 696182778 928243704 1392365556 1431042377 2784731112 2862084754 4293127131 5724169508 8586254262 11448339016 12879381393 17172508524 25758762786 34345017048 51517525572 103035051144