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103041084096 = 2633166735771
BaseRepresentation
bin101111111110110111…
…0100010101011000000
3100211222002222102101000
41133331232202223000
53142012004142341
6115200400012000
710305311522616
oct1377556425300
9324862872330
10103041084096
113a777007645
1217b78301000
13994187a0a2
144db6cbd6b6
152a311e68b6
hex17fdba2ac0

103041084096 has 112 divisors (see below), whose sum is σ = 303111895680. Its totient is φ = 34325464320.

The previous prime is 103041084067. The next prime is 103041084101. The reversal of 103041084096 is 690480140301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103041084096.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2862691 + ... + 2898461.

Almost surely, 2103041084096 is an apocalyptic number.

103041084096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103041084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151555947840).

103041084096 is an abundant number, since it is smaller than the sum of its proper divisors (200070811584).

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

103041084096 is a wasteful number, since it uses less digits than its factorization.

103041084096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37459 (or 37443 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 103041084096 in words is "one hundred three billion, forty-one million, eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1667 1728 3334 5001 6668 10002 13336 15003 20004 26672 30006 35771 40008 45009 53344 60012 71542 80016 90018 106688 107313 120024 143084 160032 180036 214626 240048 286168 320064 321939 360072 429252 480096 572336 643878 720144 858504 960192 965817 1144672 1287756 1440288 1717008 1931634 2289344 2575512 2880576 3434016 3863268 5151024 6868032 7726536 10302048 15453072 20604096 30906144 59630257 61812288 119260514 178890771 238521028 357781542 477042056 536672313 715563084 954084112 1073344626 1431126168 1610016939 1908168224 2146689252 2862252336 3220033878 3816336448 4293378504 5724504672 6440067756 8586757008 11449009344 12880135512 17173514016 25760271024 34347028032 51520542048 103041084096