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10113302442101 = 172989230492113
BaseRepresentation
bin1001001100101010111111…
…0011001011000001110101
31022210211012102202200002212
42103022233303023001311
52311144020411121401
633301553105343205
72062443030250655
oct223125763130165
938724172680085
1010113302442101
11324a033636821
121174038637b05
135848ac8b1181
1426d6b4b66365
1512810be21dbb
hex932afccb075

10113302442101 has 16 divisors (see below), whose sum is σ = 11201916740400. Its totient is φ = 9086921023488.

The previous prime is 10113302442097. The next prime is 10113302442109. The reversal of 10113302442101 is 10124420331101.

It can be written as a sum of positive squares in 8 ways, for example, as 567513622225 + 9545788819876 = 753335^2 + 3089626^2 .

It is a cyclic number.

It is not a de Polignac number, because 10113302442101 - 22 = 10113302442097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113302442109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115202180 + ... + 115289933.

It is an arithmetic number, because the mean of its divisors is an integer number (700119796275).

Almost surely, 210113302442101 is an apocalyptic number.

It is an amenable number.

10113302442101 is a deficient number, since it is larger than the sum of its proper divisors (1088614298299).

10113302442101 is a wasteful number, since it uses less digits than its factorization.

10113302442101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230492248.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10113302442101 its reverse (10124420331101), we get a palindrome (20237722773202).

The spelling of 10113302442101 in words is "ten trillion, one hundred thirteen billion, three hundred two million, four hundred forty-two thousand, one hundred one".

Divisors: 1 17 29 89 493 1513 2581 43877 230492113 3918365921 6684271277 20513798057 113632611709 348734566969 594900143653 10113302442101