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103561175344116 = 22373539348367091
BaseRepresentation
bin10111100011000000110111…
…000100011010001111110100
3111120200100111100222222202010
4113203000313010122033310
5102033221241342002431
61004131202553244220
730546022316131650
oct2743006704321764
9446610440888663
10103561175344116
112aaa8058713886
12b746a24103670
1345a2a13bc1889
141b8055d933a60
15be8ce5664846
hex5e303711a3f4

103561175344116 has 48 divisors (see below), whose sum is σ = 276241169272320. Its totient is φ = 29580546346080.

The previous prime is 103561175344069. The next prime is 103561175344153. The reversal of 103561175344116 is 611443571165301.

It is a happy number.

103561175344116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1035611753441163 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 173886270 + ... + 174480821.

It is an arithmetic number, because the mean of its divisors is an integer number (5755024359840).

Almost surely, 2103561175344116 is an apocalyptic number.

It is an amenable number.

103561175344116 is an abundant number, since it is smaller than the sum of its proper divisors (172679993928204).

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

103561175344116 is a wasteful number, since it uses less digits than its factorization.

103561175344116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348370644 (or 348370642 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 103561175344116 in words is "one hundred three trillion, five hundred sixty-one billion, one hundred seventy-five million, three hundred forty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 3539 7078 10617 14156 21234 24773 42468 49546 74319 99092 148638 297276 348367091 696734182 1045101273 1393468364 2090202546 2438569637 4180405092 4877139274 7315708911 9754278548 14631417822 29262835644 1232871135049 2465742270098 3698613405147 4931484540196 7397226810294 8630097945343 14794453620588 17260195890686 25890293836029 34520391781372 51780587672058 103561175344116