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11153222300 = 225211171931391
BaseRepresentation
bin10100110001100100…
…01010101010011100
31001210021202101201102
422120302022222130
5140320211103200
65042420132232
7543246553043
oct123062125234
931707671642
1011153222300
114803780aa0
1221b3237078
1310898b412c
1477b39755a
154542586d5
hex298c8aa9c

11153222300 has 144 divisors (see below), whose sum is σ = 29428116480. Its totient is φ = 3616128000.

The previous prime is 11153222273. The next prime is 11153222303. The reversal of 11153222300 is 322235111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11153222303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339605 + ... + 370995.

It is an arithmetic number, because the mean of its divisors is an integer number (204361920).

Almost surely, 211153222300 is an apocalyptic number.

11153222300 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 11153222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714058240).

11153222300 is an abundant number, since it is smaller than the sum of its proper divisors (18274894180).

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

11153222300 is a wasteful number, since it uses less digits than its factorization.

11153222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31452 (or 31445 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 11153222300 its reverse (322235111), we get a palindrome (11475457411).

The spelling of 11153222300 in words is "eleven billion, one hundred fifty-three million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 19 20 22 25 34 38 44 50 55 68 76 85 95 100 110 170 187 190 209 220 275 323 340 374 380 418 425 475 550 646 748 836 850 935 950 1045 1100 1292 1615 1700 1870 1900 2090 3230 3553 3740 4180 4675 5225 6460 7106 8075 9350 10450 14212 16150 17765 18700 20900 31391 32300 35530 62782 71060 88825 125564 156955 177650 313910 345301 355300 533647 596429 627820 690602 784775 1067294 1192858 1381204 1569550 1726505 2134588 2385716 2668235 2982145 3139100 3453010 5336470 5870117 5964290 6560719 6906020 8632525 10139293 10672940 11740234 11928580 13121438 13341175 14910725 17265050 20278586 23480468 26242876 26682350 29350585 29821450 32803595 34530100 40557172 50696465 53364700 58701170 59642900 65607190 101392930 111532223 117402340 131214380 146752925 164017975 202785860 223064446 253482325 293505850 328035950 446128892 506964650 557661115 587011700 656071900 1013929300 1115322230 2230644460 2788305575 5576611150 11153222300