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103597388058216 = 233137014391107873
BaseRepresentation
bin10111100011100010100101…
…100000111100111001101000
3111120210210222002121110200110
4113203202211200330321220
5102034314422320330331
61004155552201334320
730551443565125623
oct2743424540747150
9446723862543613
10103597388058216
1130011450864978
12b751a4b7973a0
1345a626543ba60
141b821d711cdba
15be9c148e2946
hex5e38a583ce68

103597388058216 has 128 divisors (see below), whose sum is σ = 279380128285440. Its totient is φ = 31823102976000.

The previous prime is 103597388058181. The next prime is 103597388058217. The reversal of 103597388058216 is 612850883795301.

It is a super-3 number, since 3×1035973880582163 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103597388058217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 960310456 + ... + 960418328.

It is an arithmetic number, because the mean of its divisors is an integer number (2182657252230).

Almost surely, 2103597388058216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103597388058216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139690064142720).

103597388058216 is an abundant number, since it is smaller than the sum of its proper divisors (175782740227224).

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

103597388058216 is a wasteful number, since it uses less digits than its factorization.

103597388058216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112987 (or 112983 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 66.

The spelling of 103597388058216 in words is "one hundred three trillion, five hundred ninety-seven billion, three hundred eighty-eight million, fifty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 701 1402 2103 2804 4206 4391 5608 8412 8782 9113 13173 16824 17564 18226 26346 27339 35128 36452 52692 54678 57083 72904 105384 107873 109356 114166 171249 215746 218712 228332 323619 342498 431492 456664 647238 684996 862984 1294476 1369992 1402349 2588952 2804698 3078091 4207047 5609396 6156182 8414094 9234273 11218792 12312364 16828188 18468546 24624728 33656376 36937092 40015183 73874184 75618973 80030366 120045549 151237946 160060732 226856919 240091098 302475892 320121464 453713838 473670343 480182196 604951784 907427676 947340686 960364392 983046649 1421011029 1814855352 1894681372 1966093298 2842022058 2949139947 3789362744 3932186596 5684044116 5898279894 6157714459 7864373192 11368088232 11796559788 12315428918 18473143377 23593119576 24630857836 36946286754 49261715672 73892573508 147785147016 332042910443 664085820886 996128731329 1328171641772 1992257462658 2656343283544 3984514925316 4316557835759 7969029850632 8633115671518 12949673507277 17266231343036 25899347014554 34532462686072 51798694029108 103597388058216