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11031410320 = 2457157125471
BaseRepresentation
bin10100100011000010…
…11111011010010000
31001110210112201002121
422101201133122100
5140043020112240
65022345224024
7540240304060
oct122141373220
931423481077
1011031410320
114750a41937
12217a492014
13106a5a4538
147691293a0
154486e604a
hex29185f690

11031410320 has 80 divisors (see below), whose sum is σ = 29498969088. Its totient is φ = 3758077440.

The previous prime is 11031410303. The next prime is 11031410323. The reversal of 11031410320 is 2301413011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11031410294 and 11031410303.

It is not an unprimeable number, because it can be changed into a prime (11031410323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25185 + ... + 150655.

Almost surely, 211031410320 is an apocalyptic number.

11031410320 is a gapful number since it is divisible by the number (10) 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 11031410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14749484544).

11031410320 is an abundant number, since it is smaller than the sum of its proper divisors (18467558768).

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

11031410320 is a wasteful number, since it uses less digits than its factorization.

11031410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125648 (or 125642 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11031410320 its reverse (2301413011), we get a palindrome (13332823331).

The spelling of 11031410320 in words is "eleven billion, thirty-one million, four hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 157 280 314 560 628 785 1099 1256 1570 2198 2512 3140 4396 5495 6280 8792 10990 12560 17584 21980 43960 87920 125471 250942 501884 627355 878297 1003768 1254710 1756594 2007536 2509420 3513188 4391485 5018840 7026376 8782970 10037680 14052752 17565940 19698947 35131880 39397894 70263760 78795788 98494735 137892629 157591576 196989470 275785258 315183152 393978940 551570516 689463145 787957880 1103141032 1378926290 1575915760 2206282064 2757852580 5515705160 11031410320