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11127249870399 = 321319139349103183
BaseRepresentation
bin1010000111101100001111…
…0001101001111000111111
31110101202101011201212100100
42201323003301221320333
52424302101431323044
635355442113532143
72225626424220165
oct241730361517077
943352334655310
1011127249870399
113600049512a63
1212b8651574053
136293ab60ca60
142a67c16bd235
151446a2d84869
hexa1ec3c69e3f

11127249870399 has 96 divisors (see below), whose sum is σ = 18403898240000. Its totient is φ = 6421955228928.

The previous prime is 11127249870379. The next prime is 11127249870403. The reversal of 11127249870399 is 99307894272111.

11127249870399 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 72 + 498 + 70 + 3 + 9 + 9 = 666.

It is not a de Polignac number, because 11127249870399 - 220 = 11127248821823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11127249870379) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107788362 + ... + 107891544.

Almost surely, 211127249870399 is an apocalyptic number.

11127249870399 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11127249870399 is a deficient number, since it is larger than the sum of its proper divisors (7276648369601).

11127249870399 is a wasteful number, since it uses less digits than its factorization.

11127249870399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103709 (or 103706 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 11127249870399 in words is "eleven trillion, one hundred twenty-seven billion, two hundred forty-nine million, eight hundred seventy thousand, three hundred ninety-nine".

Divisors: 1 3 9 13 19 39 57 117 139 171 247 349 417 741 1047 1251 1807 2223 2641 3141 4537 5421 6631 7923 13611 16263 19893 23769 34333 40833 48511 59679 86203 102999 103183 145533 258609 308997 309549 436599 630643 775827 921709 928647 1341379 1891929 1960477 2765127 4024137 5675787 5881431 8295381 11982217 12072411 14342437 17644293 25486201 35946651 36010867 43027311 76458603 107839953 108032601 129081933 186451681 229375809 272506303 324097803 468141271 559355043 684206473 817518909 1404423813 1678065129 2052619419 2452556727 3542581939 4213271439 5005510513 6157858257 8894684149 10627745817 15016531539 26684052447 31883237451 45049594617 65071636669 80052157341 95104699747 195214910007 285314099241 585644730021 855942297723 1236361096711 3709083290133 11127249870399