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12100311326103 = 37112131812023811
BaseRepresentation
bin1011000000010101001011…
…0000100001110110010111
31120211210000111112110011120
42300011102300201312113
53041222414144413403
641422450053535023
72356134665142210
oct260052260416627
946753014473146
1012100311326103
11394579331a900
121435155944473
1369a092864450
142db930120407
1515eb54654e53
hexb0152c21d97

12100311326103 has 96 divisors (see below), whose sum is σ = 21946800185856. Its totient is φ = 5770287072000.

The previous prime is 12100311326071. The next prime is 12100311326123. The reversal of 12100311326103 is 30162311300121.

It is not a de Polignac number, because 12100311326103 - 25 = 12100311326071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100311326123) 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 95 ways as a sum of consecutive naturals, for example, 4967068 + ... + 6990878.

It is an arithmetic number, because the mean of its divisors is an integer number (228612501936).

Almost surely, 212100311326103 is an apocalyptic number.

12100311326103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12100311326103 is a deficient number, since it is larger than the sum of its proper divisors (9846488859753).

12100311326103 is a wasteful number, since it uses less digits than its factorization.

12100311326103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024037 (or 2024026 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 12100311326103 its reverse (30162311300121), we get a palindrome (42262622626224).

The spelling of 12100311326103 in words is "twelve trillion, one hundred billion, three hundred eleven million, three hundred twenty-six thousand, one hundred three".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 181 231 273 363 429 543 847 1001 1267 1573 1991 2353 2541 3003 3801 4719 5973 7059 11011 13937 16471 21901 25883 33033 41811 49413 65703 77649 153307 181181 284713 459921 543543 854139 1992991 2023811 5978973 6071433 14166677 22261921 26309543 42500031 66785763 78928629 155833447 184166801 244881131 289404973 366309791 467500341 552500403 734643393 868214919 1098929373 1714167917 2025834811 2564168537 3183454703 4029407701 4762027283 5142503751 6077504433 7692505611 9550364109 12088223103 14286081849 22284182921 28205853907 33334190981 44323484711 52382300113 66852548763 84617561721 100002572943 132970454133 157146900339 310264392977 366676100791 576205301243 930793178931 1100028302373 1728615903729 4033437108701 12100311326103