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11123434004221 = 761119736197
BaseRepresentation
bin1010000111011110000001…
…0101010001111011111101
31110101101112020111210000101
42201313200111101323331
52424221243101113341
635354011322401101
72225433031000000
oct241674025217375
943341466453011
1011123434004221
1135a9470565250
1212b7967660191
13628c20bab986
142a653c9bb537
1514452cd82831
hexa1de0551efd

11123434004221 has 112 divisors (see below), whose sum is σ = 15108767415360. Its totient is φ = 8097628734720.

The previous prime is 11123434004209. The next prime is 11123434004227. The reversal of 11123434004221 is 12240043432111.

It is a happy number.

It is not a de Polignac number, because 11123434004221 - 27 = 11123434004093 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11123434004221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123434004227) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1794967695 + ... + 1794973891.

Almost surely, 211123434004221 is an apocalyptic number.

11123434004221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11123434004221 is a deficient number, since it is larger than the sum of its proper divisors (3985333411139).

11123434004221 is an frugal number, since it uses more digits than its factorization.

11123434004221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6342 (or 6307 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11123434004221 its reverse (12240043432111), we get a palindrome (23363477436332).

The spelling of 11123434004221 in words is "eleven trillion, one hundred twenty-three billion, four hundred thirty-four million, four thousand, two hundred twenty-one".

Divisors: 1 7 11 19 49 73 77 133 209 343 511 539 803 931 1387 1463 2401 3577 3773 5621 6197 6517 9709 10241 15257 16807 25039 26411 39347 43379 45619 67963 68167 71687 106799 117649 117743 175273 184877 275429 303653 319333 452381 475741 477169 501809 747593 824201 1226911 1294139 1295173 1928003 2125571 2235331 3166667 3330187 3340183 3512663 4976191 5233151 5769407 8588377 8595239 9066211 13496021 14878997 22166669 23311309 23381281 24588641 34833337 36632057 40385849 60166673 63463477 94472147 94547629 104152979 155166683 163179163 163668967 243833359 256424399 282700943 421166711 444244339 661833403 729070853 1086166781 1145682769 1706833513 1794970793 1978906601 2948166977 3109710373 4632833821 7603167467 8019779383 11947834591 13852346207 20637168839 21767972611 32429836747 53222172269 83634842137 144460181873 152375808277 227008857229 585443894959 1011221273111 1589062000603 11123434004221