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11332130000 = 24545919207
BaseRepresentation
bin10101000110111001…
…01001010011010000
31002020202101211221112
422203130221103100
5141202011130000
65112250512452
7550551341612
oct124334512320
932222354845
1011332130000
114895767aa4
122243135728
1310b7994a89
14797048db2
15464ce8235
hex2a37294d0

11332130000 has 100 divisors (see below), whose sum is σ = 27902693280. Its totient is φ = 4455792000.

The previous prime is 11332129997. The next prime is 11332130009. The reversal of 11332130000 is 3123311.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332130009) 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, 580397 + ... + 599603.

Almost surely, 211332130000 is an apocalyptic number.

11332130000 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 11332130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13951346640).

11332130000 is an abundant number, since it is smaller than the sum of its proper divisors (16570563280).

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

11332130000 is an equidigital number, since it uses as much as digits as its factorization.

11332130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19294 (or 19273 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 11332130000 its reverse (3123311), we get a palindrome (11335253311).

The spelling of 11332130000 in words is "eleven billion, three hundred thirty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 625 944 1000 1180 1250 1475 2000 2360 2500 2950 4720 5000 5900 7375 10000 11800 14750 19207 23600 29500 36875 38414 59000 73750 76828 96035 118000 147500 153656 192070 295000 307312 384140 480175 590000 768280 960350 1133213 1536560 1920700 2266426 2400875 3841400 4532852 4801750 5666065 7682800 9065704 9603500 11332130 12004375 18131408 19207000 22664260 24008750 28330325 38414000 45328520 48017500 56660650 90657040 96035000 113321300 141651625 192070000 226642600 283303250 453285200 566606500 708258125 1133213000 1416516250 2266426000 2833032500 5666065000 11332130000