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103600200054 = 231343306110091
BaseRepresentation
bin110000001111100001…
…1011001100101110110
3100220102002001110021110
41200133003121211312
53144133122400204
6115332051455450
710325211112401
oct1403703314566
9326362043243
10103600200054
113aa3368074a
12180b35b7586
139a0065c930
14502b262d38
152a6533a889
hex181f0d9976

103600200054 has 64 divisors (see below), whose sum is σ = 228425395968. Its totient is φ = 31122403200.

The previous prime is 103600200019. The next prime is 103600200061. The reversal of 103600200054 is 450002006301.

It is a happy number.

It is a super-3 number, since 3×1036002000543 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103600200054.

It is a congruent number.

It is an unprimeable number.

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, 10261549 + ... + 10271639.

It is an arithmetic number, because the mean of its divisors is an integer number (3569146812).

Almost surely, 2103600200054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103600200054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114212697984).

103600200054 is an abundant number, since it is smaller than the sum of its proper divisors (124825195914).

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

103600200054 is a wasteful number, since it uses less digits than its factorization.

103600200054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13213.

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 103600200054 its reverse (450002006301), we get a palindrome (553602206355).

The spelling of 103600200054 in words is "one hundred three billion, six hundred million, two hundred thousand, fifty-four".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 258 559 1118 1677 3061 3354 6122 9183 10091 18366 20182 30273 39793 60546 79586 119379 131183 131623 238758 262366 263246 393549 394869 433913 787098 789738 867826 1301739 1711099 2603478 3422198 5133297 5640869 10266594 11281738 16922607 30888551 33845214 61777102 92665653 185331306 401551163 803102326 1204653489 1328207693 2409306978 2656415386 3984623079 7969246158 17266700009 34533400018 51800100027 103600200054