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11122212310001 = 1319317257256877
BaseRepresentation
bin1010000111011001011110…
…0000111000101111110001
31110101021101002200021121022
42201312113200320233301
52424211242322410001
635353250201305225
72225360534525162
oct241662740705761
943337332607538
1011122212310001
1135a89a3991301
1212b7686495215
13628a87a5cba0
142a6464641769
151444aa9ae11b
hexa1d97838bf1

11122212310001 has 16 divisors (see below), whose sum is σ = 12040572623184. Its totient is φ = 10212830797824.

The previous prime is 11122212309991. The next prime is 11122212310021. The reversal of 11122212310001 is 10001321222111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 948179325025 + 10174032984976 = 973745^2 + 3189676^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11122212310001 is a prime.

It is a super-3 number, since 3×111222123100013 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11122212310021) 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, 43169375 + ... + 43426251.

It is an arithmetic number, because the mean of its divisors is an integer number (752535788949).

Almost surely, 211122212310001 is an apocalyptic number.

It is an amenable number.

11122212310001 is a deficient number, since it is larger than the sum of its proper divisors (918360313183).

11122212310001 is a wasteful number, since it uses less digits than its factorization.

11122212310001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274340.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 11122212310001 its reverse (10001321222111), we get a palindrome (21123533532112).

The spelling of 11122212310001 in words is "eleven trillion, one hundred twenty-two billion, two hundred twelve million, three hundred ten thousand, one".

Divisors: 1 13 193 2509 17257 224341 256877 3330601 3339401 43297813 49577261 644504393 4432926389 57628043057 855554793077 11122212310001