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103012103322198 = 23272607319231643
BaseRepresentation
bin10111011011000001011111…
…110100110111101001010110
3111111201212020121010021111100
4113123001133310313221112
5102000222241422302243
61003031035034250530
730461243644013100
oct2733013764675126
9444655217107440
10103012103322198
112a906207894a74
12b678528b86a46
134562ccc345355
141b61b53340570
15bd98ab8930d3
hex5db05fd37a56

103012103322198 has 72 divisors (see below), whose sum is σ = 259675311573288. Its totient is φ = 29427181616448.

The previous prime is 103012103322119. The next prime is 103012103322199. The reversal of 103012103322198 is 891223301210301.

It is a happy number.

103012103322198 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 1 + 210 + 332 + 21 + 98 = 666.

It is a super-2 number, since 2×1030121033221982 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103012103322199) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4259436 + ... + 14972207.

It is an arithmetic number, because the mean of its divisors is an integer number (3606601549629).

Almost surely, 2103012103322198 is an apocalyptic number.

103012103322198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

103012103322198 is an abundant number, since it is smaller than the sum of its proper divisors (156663208251090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103012103322198 is a wasteful number, since it uses less digits than its factorization.

103012103322198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19237738 (or 19237728 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 103012103322198 its reverse (891223301210301), we get a palindrome (994235404532499).

The spelling of 103012103322198 in words is "one hundred three trillion, twelve billion, one hundred three million, three hundred twenty-two thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 6073 12146 18219 36438 42511 54657 85022 109314 127533 255066 297577 382599 595154 765198 892731 1785462 2678193 5356386 19231643 38463286 57694929 115389858 134621501 173084787 269243002 346169574 403864503 807729006 942350507 1211593509 1884701014 2423187018 2827051521 5654103042 8481154563 16962309126 116793767939 233587535878 350381303817 700762607634 817556375573 1051143911451 1635112751146 2102287822902 2452669126719 4905338253438 5722894629011 7358007380157 11445789258022 14716014760314 17168683887033 34337367774066 51506051661099 103012103322198