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11333320000 = 2654421673
BaseRepresentation
bin10101000111000010…
…01011110101000000
31002020211122022022121
422203201023311000
5141202312220000
65112332214024
7550564426162
oct124341136500
932224568277
1011333320000
114896400072
12224360a314
1310b7cc0612
14797278932
15464e80b1a
hex2a384bd40

11333320000 has 140 divisors (see below), whose sum is σ = 28211560036. Its totient is φ = 4515840000.

The previous prime is 11333319997. The next prime is 11333320003. The reversal of 11333320000 is 2333311.

It is an interprime number because it is at equal distance from previous prime (11333319997) and next prime (11333320003).

It can be written as a sum of positive squares in 10 ways, for example, as 11298839616 + 34480384 = 106296^2 + 5872^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11333320003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16839664 + ... + 16840336.

Almost surely, 211333320000 is an apocalyptic number.

11333320000 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 11333320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14105780018).

11333320000 is an abundant number, since it is smaller than the sum of its proper divisors (16878240036).

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

11333320000 is an frugal number, since it uses more digits than its factorization.

11333320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 11333320000 its reverse (2333311), we get a palindrome (11335653311).

The spelling of 11333320000 in words is "eleven billion, three hundred thirty-three million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 421 500 625 673 800 842 1000 1250 1346 1600 1684 2000 2105 2500 2692 3365 3368 4000 4210 5000 5384 6730 6736 8000 8420 10000 10525 10768 13460 13472 16825 16840 20000 21050 21536 26920 26944 33650 33680 40000 42100 43072 52625 53840 67300 67360 84125 84200 105250 107680 134600 134720 168250 168400 210500 215360 263125 269200 283333 336500 336800 420625 421000 526250 538400 566666 673000 673600 841250 842000 1052500 1076800 1133332 1346000 1416665 1682500 1684000 2105000 2266664 2692000 2833330 3365000 3368000 4210000 4533328 5384000 5666660 6730000 7083325 8420000 9066656 11333320 13460000 14166650 16840000 18133312 22666640 26920000 28333300 35416625 45333280 56666600 70833250 90666560 113333200 141666500 177083125 226666400 283333000 354166250 453332800 566666000 708332500 1133332000 1416665000 2266664000 2833330000 5666660000 11333320000