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11202133112031 = 329273449135461
BaseRepresentation
bin1010001100000011001100…
…1010100011010011011111
31110122220122220202200102010
42203000303022203103133
52432013432034041111
635454104445402303
72234220205244001
oct243006312432337
943586586680363
1011202133112031
113629886114814
12130b06b869393
136334836556a4
142aa286a82371
151465d7036aa6
hexa30332a34df

11202133112031 has 48 divisors (see below), whose sum is σ = 15715921946400. Its totient is φ = 7095901962240.

The previous prime is 11202133112029. The next prime is 11202133112033. The reversal of 11202133112031 is 13021133120211.

It is an interprime number because it is at equal distance from previous prime (11202133112029) and next prime (11202133112033).

It is not a de Polignac number, because 11202133112031 - 21 = 11202133112029 is a prime.

It is a super-2 number, since 2×112021331120312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11202133111989 and 11202133112007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202133112033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82628641 + ... + 82764101.

It is an arithmetic number, because the mean of its divisors is an integer number (327415040550).

Almost surely, 211202133112031 is an apocalyptic number.

11202133112031 is a deficient number, since it is larger than the sum of its proper divisors (4513788834369).

11202133112031 is a wasteful number, since it uses less digits than its factorization.

11202133112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136044 (or 136015 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11202133112031 its reverse (13021133120211), we get a palindrome (24223266232242).

The spelling of 11202133112031 in words is "eleven trillion, two hundred two billion, one hundred thirty-three million, one hundred twelve thousand, thirty-one".

Divisors: 1 3 29 73 87 219 449 841 1347 2117 2523 6351 13021 32777 39063 61393 98331 135461 184179 377609 406383 950533 1132827 2851599 3928369 9888653 11785107 27565457 29665959 60821989 82696371 113922701 182465967 286770937 341768103 860312811 1763837681 4440005197 5291513043 8316357173 13320015591 24949071519 51151292749 128760150713 153453878247 386280452139 3734044370677 11202133112031