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105032245041 = 3211670249449
BaseRepresentation
bin110000111010001101…
…0001101111100110001
3101001002212200212200200
41201310122031330301
53210101223320131
6120130125305413
710405540231563
oct1416432157461
9331085625620
10105032245041
11405a8a672a9
1218433105269
139b9b24b129
145125517333
152aeae102e6
hex187468df31

105032245041 has 6 divisors (see below), whose sum is σ = 151713242850. Its totient is φ = 70021496688.

The previous prime is 105032244983. The next prime is 105032245049. The reversal of 105032245041 is 140542230501.

105032245041 is a `hidden beast` number, since 105 + 0 + 32 + 24 + 504 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103426560000 + 1605685041 = 321600^2 + 40071^2 .

It is not a de Polignac number, because 105032245041 - 27 = 105032244913 is a prime.

It is a super-2 number, since 2×1050322450412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105032244996 and 105032245014.

It is not an unprimeable number, because it can be changed into a prime (105032245049) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5835124716 + ... + 5835124733.

It is an arithmetic number, because the mean of its divisors is an integer number (25285540475).

Almost surely, 2105032245041 is an apocalyptic number.

It is an amenable number.

105032245041 is a deficient number, since it is larger than the sum of its proper divisors (46680997809).

105032245041 is a wasteful number, since it uses less digits than its factorization.

105032245041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11670249455 (or 11670249452 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 105032245041 its reverse (140542230501), we get a palindrome (245574475542).

The spelling of 105032245041 in words is "one hundred five billion, thirty-two million, two hundred forty-five thousand, forty-one".

Divisors: 1 3 9 11670249449 35010748347 105032245041