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11661055001119 = 1923173421136629
BaseRepresentation
bin1010100110110000110100…
…0010101000001000011111
31112021210012222021011000101
42221230031002220020133
53012023320040013434
640445003102241531
72312324546034136
oct251541502501037
945253188234011
1011661055001119
1137964755aa517
121383ba78862a7
1366782c265454
142c458045691d
151534e66c2b14
hexa9b0d0a821f

11661055001119 has 32 divisors (see below), whose sum is σ = 12885929971200. Its totient is φ = 10503134674560.

The previous prime is 11661055001041. The next prime is 11661055001131. The reversal of 11661055001119 is 91110055016611.

It is a cyclic number.

It is not a de Polignac number, because 11661055001119 - 235 = 11626695262751 is a prime.

It is a super-2 number, since 2×116610550011192 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11661055001819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318337497 + ... + 318374125.

It is an arithmetic number, because the mean of its divisors is an integer number (402685311600).

Almost surely, 211661055001119 is an apocalyptic number.

11661055001119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11661055001119 is a deficient number, since it is larger than the sum of its proper divisors (1224874970081).

11661055001119 is a wasteful number, since it uses less digits than its factorization.

11661055001119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41055.

The product of its (nonzero) digits is 8100, while the sum is 37.

The spelling of 11661055001119 in words is "eleven trillion, six hundred sixty-one billion, fifty-five million, one thousand, one hundred nineteen".

Divisors: 1 19 23 173 437 3287 3979 4211 36629 75601 80009 96853 695951 728503 842467 1840207 6336817 13841557 16006873 16755569 120399523 145746791 154244719 318355811 2769189029 2930649661 3547628537 26684336387 67404942203 507002391353 613739736901 11661055001119