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11100222100 = 225211431092153
BaseRepresentation
bin10100101011001111…
…11111001010010100
31001122121000201010001
422111213333022110
5140213124101400
65033244141044
7542034221362
oct122547771224
931577021101
1011100222100
114786871180
122199537784
13107b918276
1477431c632
1544e789a6a
hex2959ff294

11100222100 has 144 divisors (see below), whose sum is σ = 27147637440. Its totient is φ = 3904588800.

The previous prime is 11100222053. The next prime is 11100222157. The reversal of 11100222100 is 122200111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5154624 + ... + 5156776.

It is an arithmetic number, because the mean of its divisors is an integer number (188525260).

Almost surely, 211100222100 is an apocalyptic number.

11100222100 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 11100222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573818720).

11100222100 is an abundant number, since it is smaller than the sum of its proper divisors (16047415340).

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

11100222100 is a wasteful number, since it uses less digits than its factorization.

11100222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11100222100 its reverse (122200111), we get a palindrome (11222422211).

The spelling of 11100222100 in words is "eleven billion, one hundred million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 109 110 172 215 218 220 275 430 436 473 545 550 860 946 1075 1090 1100 1199 1892 2150 2153 2180 2365 2398 2725 4300 4306 4687 4730 4796 5450 5995 8612 9374 9460 10765 10900 11825 11990 18748 21530 23435 23650 23683 23980 29975 43060 46870 47300 47366 51557 53825 59950 92579 93740 94732 103114 107650 117175 118415 119900 185158 206228 215300 234350 234677 236830 257785 370316 462895 468700 469354 473660 515570 592075 925790 938708 1018369 1031140 1173385 1184150 1288925 1851580 2036738 2314475 2346770 2368300 2577850 2581447 4073476 4628950 4693540 5091845 5155700 5162894 5866925 9257900 10091111 10183690 10325788 11733850 12907235 20182222 20367380 23467700 25459225 25814470 40364444 50455555 50918450 51628940 64536175 100911110 101836900 111002221 129072350 201822220 222004442 252277775 258144700 444008884 504555550 555011105 1009111100 1110022210 2220044420 2775055525 5550111050 11100222100