Search a number
-
+
11303212320 = 253257849453
BaseRepresentation
bin10101000011011100…
…10101010100100000
31002011201222200100100
422201232111110200
5141122110243240
65105335022400
7550050501531
oct124156252440
932151880310
1011303212320
114880406794
12223550aa00
1310b19ab61a
1479327c688
154624d4e30
hex2a1b95520

11303212320 has 72 divisors (see below), whose sum is σ = 38572216956. Its totient is φ = 3014189568.

The previous prime is 11303212307. The next prime is 11303212337. The reversal of 11303212320 is 2321230311.

11303212320 is a `hidden beast` number, since 1 + 130 + 3 + 212 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10534148496 + 769063824 = 102636^2 + 27732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11303212293 and 11303212302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3923287 + ... + 3926166.

Almost surely, 211303212320 is an apocalyptic number.

11303212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11303212320 is an abundant number, since it is smaller than the sum of its proper divisors (27269004636).

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

11303212320 is a wasteful number, since it uses less digits than its factorization.

11303212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7849474 (or 7849463 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11303212320 its reverse (2321230311), we get a palindrome (13624442631).

The spelling of 11303212320 in words is "eleven billion, three hundred three million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7849453 15698906 23548359 31397812 39247265 47096718 62795624 70645077 78494530 94193436 117741795 125591248 141290154 156989060 188386872 235483590 251182496 282580308 313978120 353225385 376773744 470967180 565160616 627956240 706450770 753547488 941934360 1130321232 1255912480 1412901540 1883868720 2260642464 2825803080 3767737440 5651606160 11303212320