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11231131202133 = 3611011095879497
BaseRepresentation
bin1010001101101111001110…
…0101011111001001010101
31110202200111211210021210020
42203123303211133021111
52433002324041432013
635515302131215353
72236264621035513
oct243336345371125
943680454707706
1011231131202133
113640106850037
121314803147559
1363612529219b
142ab8380034b3
15147232c03623
hexa36f395f255

11231131202133 has 64 divisors (see below), whose sum is σ = 15540107869440. Its totient is φ = 7211794176000.

The previous prime is 11231131202119. The next prime is 11231131202153. The reversal of 11231131202133 is 33120213113211.

It is not a de Polignac number, because 11231131202133 - 212 = 11231131198037 is a prime.

It is a super-2 number, since 2×112311312021332 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231131202153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1182593041 + ... + 1182602537.

It is an arithmetic number, because the mean of its divisors is an integer number (242814185460).

Almost surely, 211231131202133 is an apocalyptic number.

It is an amenable number.

11231131202133 is a deficient number, since it is larger than the sum of its proper divisors (4308976667307).

11231131202133 is a wasteful number, since it uses less digits than its factorization.

11231131202133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10358.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11231131202133 its reverse (33120213113211), we get a palindrome (44351344315344).

It can be divided in two parts, 1123113 and 1202133, that added together give a triangular number (2325246 = T2156).

The spelling of 11231131202133 in words is "eleven trillion, two hundred thirty-one billion, one hundred thirty-one million, two hundred two thousand, one hundred thirty-three".

Divisors: 1 3 61 101 109 183 303 327 587 1761 6161 6649 9497 11009 18483 19947 28491 33027 35807 59287 63983 107421 177861 191949 579317 671549 959197 1035173 1737951 2014647 2877591 3105519 3616507 3902963 5574739 6462283 10849521 11708889 16724217 19386849 58511017 63145553 104552473 175533051 189436659 313657419 340059079 394199263 563048639 607646551 1020177237 1182597789 1689145917 1822939653 6377700853 19133102559 34345966979 37066439611 61372301651 103037900937 111199318833 184116904953 3743710400711 11231131202133