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11112268138425 = 32522316724153353
BaseRepresentation
bin1010000110110100011011…
…0010111000011110111001
31110100022201001222000200100
42201231012302320132321
52424030411120412200
635344523331230013
72224556235464256
oct241550662703671
943308631860610
1011112268138425
1135a4760738a93
1212b5770148309
13627b617bb9ac
142a5b9da9242d
151440c797cd00
hexa1b46cb87b9

11112268138425 has 144 divisors (see below), whose sum is σ = 20980117686528. Its totient is φ = 5611435315200.

The previous prime is 11112268138303. The next prime is 11112268138453. The reversal of 11112268138425 is 52483186221111.

11112268138425 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 2 + 268 + 1 + 384 + 2 + 5 = 666.

It is not a de Polignac number, because 11112268138425 - 215 = 11112268105657 is a prime.

It is a super-2 number, since 2×111122681384252 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 208251549 + ... + 208304901.

It is an arithmetic number, because the mean of its divisors is an integer number (145695261712).

Almost surely, 211112268138425 is an apocalyptic number.

11112268138425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11112268138425 is a deficient number, since it is larger than the sum of its proper divisors (9867849548103).

11112268138425 is a wasteful number, since it uses less digits than its factorization.

11112268138425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53800 (or 53792 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 11112268138425 in words is "eleven trillion, one hundred twelve billion, two hundred sixty-eight million, one hundred thirty-eight thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 167 207 225 241 345 501 575 723 835 1035 1205 1503 1725 2169 2505 3615 3841 4175 5175 5543 6025 7515 10845 11523 12525 16629 18075 19205 27715 34569 37575 40247 49887 53353 54225 57615 83145 96025 120741 138575 160059 172845 201235 249435 266765 288075 362223 415725 480177 603705 800295 864225 925681 1006175 1227119 1247175 1333825 1811115 2400885 2777043 3018525 3681357 4001475 4628405 6135595 8331129 8909951 9055575 11044071 12004425 12858073 13885215 18406785 23142025 26729853 30677975 38574219 41655645 44549755 55220355 64290365 69426075 80189559 92033925 115722657 133649265 192871095 204928873 208278225 222748775 276101775 295735679 321451825 400947795 578613285 614786619 668246325 887207037 964355475 1024644365 1478678395 1844359857 2004738975 2147298191 2661621111 2893066425 3073933095 4436035185 5123221825 6441894573 7393391975 9221799285 10736490955 13308105555 15369665475 19325683719 22180175925 32209472865 46108996425 49387858393 53682454775 66540527775 96628418595 148163575179 161047364325 246939291965 444490725537 483142092975 740817875895 1234696459825 2222453627685 3704089379475 11112268138425