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113323342211201 = 12771601383314461
BaseRepresentation
bin11001110001000100100101…
…100011101010100010000001
3112212020121100120020021102002
4121301010211203222202001
5104323142201101224301
61041004005201033345
732604225030313223
oct3161044543524201
9485217316207362
10113323342211201
1133121183387a01
12108629a6025855
134b30464879045
141ddac440a8413
15d17c009c116b
hex6711258ea881

113323342211201 has 16 divisors (see below), whose sum is σ = 113520378717648. Its totient is φ = 113126525952000.

The previous prime is 113323342211111. The next prime is 113323342211243. The reversal of 113323342211201 is 102112243323311.

It can be written as a sum of positive squares in 8 ways, for example, as 29989926976 + 113293352284225 = 173176^2 + 10643935^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113323342211201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113323342511201) 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 15 ways as a sum of consecutive naturals, for example, 7836473111 + ... + 7836487571.

It is an arithmetic number, because the mean of its divisors is an integer number (7095023669853).

Almost surely, 2113323342211201 is an apocalyptic number.

It is an amenable number.

113323342211201 is a deficient number, since it is larger than the sum of its proper divisors (197036506447).

113323342211201 is a wasteful number, since it uses less digits than its factorization.

113323342211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21172.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 113323342211201 its reverse (102112243323311), we get a palindrome (215435585534512).

The spelling of 113323342211201 in words is "one hundred thirteen trillion, three hundred twenty-three billion, three hundred forty-two million, two hundred eleven thousand, two hundred one".

Divisors: 1 1277 1601 3833 14461 2044477 4894741 6136633 18466697 23152061 55429013 7836480341 29565181897 70782849601 88741849813 113323342211201