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11041022100 = 22352294632741
BaseRepresentation
bin10100100100001100…
…01010000010010100
31001111110122000222110
422102012022002110
5140103000201400
65023331231020
7540415065543
oct122206120224
931443560873
1011041022100
114756407359
122181748470
13106c58b494
1476a50c15a
15449493e50
hex29218a094

11041022100 has 144 divisors (see below), whose sum is σ = 33130379520. Its totient is φ = 2835571200.

The previous prime is 11041022081. The next prime is 11041022117. The reversal of 11041022100 is 122014011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4026730 + ... + 4029470.

It is an arithmetic number, because the mean of its divisors is an integer number (230072080).

Almost surely, 211041022100 is an apocalyptic number.

11041022100 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 11041022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16565189760).

11041022100 is an abundant number, since it is smaller than the sum of its proper divisors (22089357420).

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

11041022100 is a wasteful number, since it uses less digits than its factorization.

11041022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11041022100 its reverse (122014011), we get a palindrome (11163036111).

The spelling of 11041022100 in words is "eleven billion, forty-one million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 463 580 725 870 926 1389 1450 1740 1852 2175 2315 2741 2778 2900 4350 4630 5482 5556 6945 8223 8700 9260 10964 11575 13427 13705 13890 16446 23150 26854 27410 27780 32892 34725 40281 41115 46300 53708 54820 67135 68525 69450 79489 80562 82230 134270 137050 138900 158978 161124 164460 201405 205575 238467 268540 274100 317956 335675 397445 402810 411150 476934 671350 794890 805620 822300 953868 1007025 1192335 1269083 1342700 1589780 1987225 2014050 2384670 2538166 3807249 3974450 4028100 4769340 5076332 5961675 6345415 7614498 7948900 11923350 12690830 15228996 19036245 23846700 25381660 31727075 36803407 38072490 63454150 73606814 76144980 95181225 110410221 126908300 147213628 184017035 190362450 220820442 368034070 380724900 441640884 552051105 736068140 920085175 1104102210 1840170350 2208204420 2760255525 3680340700 5520511050 11041022100