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11121130331332 = 2273741389673063
BaseRepresentation
bin1010000111010101011100…
…0001011101110011000100
31110101011120200202001220021
42201311113001131303010
52424202033331100312
635352550550544524
72225321656050340
oct241652701356304
943334520661807
1011121130331332
1135a849916575a
1212b7424068144
1362894484bb18
142a63a0a74620
151444459d7c07
hexa1d5705dcc4

11121130331332 has 96 divisors (see below), whose sum is σ = 23460749544960. Its totient is φ = 4512638407680.

The previous prime is 11121130331327. The next prime is 11121130331347. The reversal of 11121130331332 is 23313303112111.

It is a junction number, because it is equal to n+sod(n) for n = 11121130331297 and 11121130331306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16186633 + ... + 16859695.

It is an arithmetic number, because the mean of its divisors is an integer number (244382807760).

Almost surely, 211121130331332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121130331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11730374772480).

11121130331332 is an abundant number, since it is smaller than the sum of its proper divisors (12339619213628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11121130331332 is a wasteful number, since it uses less digits than its factorization.

11121130331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673541 (or 673539 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 11121130331332 its reverse (23313303112111), we get a palindrome (34434433443443).

The spelling of 11121130331332 in words is "eleven trillion, one hundred twenty-one billion, one hundred thirty million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 37 41 74 82 148 164 259 287 389 518 574 778 1036 1148 1517 1556 2723 3034 5446 6068 10619 10892 14393 15949 21238 28786 31898 42476 57572 63796 100751 111643 201502 223286 403004 446572 590113 673063 1180226 1346126 2360452 2692252 4130791 4711441 8261582 9422882 16523164 18845764 24903331 27595583 49806662 55191166 99613324 110382332 174323317 193169081 261821507 348646634 386338162 523643014 697293268 772676324 1021036571 1047286028 1832750549 2042073142 3665501098 4084146284 7147255997 7331002196 9687395759 10734681787 14294511994 19374791518 21469363574 28589023988 38749583036 42938727148 67811770313 75142772509 135623540626 150285545018 271247081252 300571090036 397183226119 794366452238 1588732904476 2780282582833 5560565165666 11121130331332