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113005366332405 = 35373171125757059
BaseRepresentation
bin11001101100011100011100…
…101101111100101111110101
3112211010012121021111222201020
4121230130130231330233311
5104302434442240114110
61040201540522251353
732542240216040631
oct3154343455745765
9484105537458636
10113005366332405
1133009341283928
1210811244656b59
134b0948b814081
141dc96bb817dc1
15d0e7e0120d70
hex66c71cb7cbf5

113005366332405 has 64 divisors (see below), whose sum is σ = 186300907303680. Its totient is φ = 58449419126784.

The previous prime is 113005366332373. The next prime is 113005366332413. The reversal of 113005366332405 is 504233663500311.

It is not a de Polignac number, because 113005366332405 - 25 = 113005366332373 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1980471766 + ... + 1980528824.

It is an arithmetic number, because the mean of its divisors is an integer number (2910951676620).

Almost surely, 2113005366332405 is an apocalyptic number.

113005366332405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113005366332405 is a deficient number, since it is larger than the sum of its proper divisors (73295540971275).

113005366332405 is a wasteful number, since it uses less digits than its factorization.

113005366332405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68678.

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 113005366332405 in words is "one hundred thirteen trillion, five billion, three hundred sixty-six million, three hundred thirty-two thousand, four hundred five".

Divisors: 1 3 5 15 37 111 185 317 555 951 1585 4755 11257 11729 33771 35187 56285 57059 58645 168855 171177 175935 285295 416509 855885 1249527 2082545 2111183 3568469 6247635 6333549 10555915 10705407 17842345 18087703 31667745 53527035 54263109 90438515 132033353 271315545 396100059 642313163 660166765 669245011 1926939489 1980500295 2007735033 3211565815 3346225055 9634697445 10038675165 23765587031 71296761093 118827935155 203613272671 356483805465 610839818013 1018066363355 3054199090065 7533691088827 22601073266481 37668455444135 113005366332405