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11013312322321 = 176419973101341
BaseRepresentation
bin1010000001000011110010…
…0100011001101100010001
31102222212021200010201110021
42200100330210121230101
52420420230423303241
635231240144503441
72214454101101551
oct240207444315421
942885250121407
1011013312322321
1135667a0764791
12129a55401ab81
1361b72141945a
142a10935a1161
151417352510d1
hexa043c919b11

11013312322321 has 16 divisors (see below), whose sum is σ = 11680632708048. Its totient is φ = 10348159795200.

The previous prime is 11013312322307. The next prime is 11013312322357. The reversal of 11013312322321 is 12322321331011.

It can be written as a sum of positive squares in 8 ways, for example, as 1787999539921 + 9225312782400 = 1337161^2 + 3037320^2 .

It is a cyclic number.

It is not a de Polignac number, because 11013312322321 - 211 = 11013312320273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11013312322021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108625111 + ... + 108726451.

It is an arithmetic number, because the mean of its divisors is an integer number (730039544253).

Almost surely, 211013312322321 is an apocalyptic number.

It is an amenable number.

11013312322321 is a deficient number, since it is larger than the sum of its proper divisors (667320385727).

11013312322321 is a wasteful number, since it uses less digits than its factorization.

11013312322321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111972.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 11013312322321 its reverse (12322321331011), we get a palindrome (23335633653332).

The spelling of 11013312322321 in words is "eleven trillion, thirteen billion, three hundred twelve million, three hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 17 641 9973 10897 101341 169541 1722797 6392693 64959581 108675781 1010673793 1104312877 17181454481 647841901313 11013312322321