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11131141433004 = 22323188311295743
BaseRepresentation
bin1010000111111010101110…
…1110110010011010101100
31110102010102101101201122200
42201332223232302122230
52424333034201324004
635401324211341500
72226125030030565
oct241765356623254
943363371351580
1011131141433004
1136017661725aa
1212b93588b1890
1362987b925418
142a6a7048716c
1514482e83a239
hexa1fabbb26ac

11131141433004 has 72 divisors (see below), whose sum is σ = 29077594570752. Its totient is φ = 3586623999840.

The previous prime is 11131141432997. The next prime is 11131141433047. The reversal of 11131141433004 is 40033414113111.

11131141433004 is a `hidden beast` number, since 1 + 1 + 1 + 311 + 4 + 1 + 43 + 300 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4662444 + ... + 6633299.

Almost surely, 211131141433004 is an apocalyptic number.

It is an amenable number.

11131141433004 is an abundant number, since it is smaller than the sum of its proper divisors (17946453137748).

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

11131141433004 is a wasteful number, since it uses less digits than its factorization.

11131141433004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11296667 (or 11296662 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11131141433004 its reverse (40033414113111), we get a palindrome (51164555546115).

The spelling of 11131141433004 in words is "eleven trillion, one hundred thirty-one billion, one hundred forty-one million, four hundred thirty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 883 1116 1766 2649 3532 5298 7947 10596 15894 27373 31788 54746 82119 109492 164238 246357 328476 492714 985428 11295743 22591486 33887229 45182972 67774458 101661687 135548916 203323374 350168033 406646748 700336066 1050504099 1400672132 2101008198 3151512297 4202016396 6303024594 9974141069 12606049188 19948282138 29922423207 39896564276 59844846414 89767269621 119689692828 179534539242 309198373139 359069078484 618396746278 927595119417 1236793492556 1855190238834 2782785358251 3710380477668 5565570716502 11131141433004