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1001110110200 = 235219214993059
BaseRepresentation
bin11101001000101101100…
…11111111111111111000
310112201001002021212101122
432210112303333333320
5112400233142011300
62043523104004412
7132220304350634
oct16442663777770
93481032255348
101001110110200
11356628616142
12142031900708
1373534279295
143664da57dc4
151b093e47c85
hexe916cffff8

1001110110200 has 144 divisors (see below), whose sum is σ = 2473046235000. Its totient is φ = 376817898240.

The previous prime is 1001110110191. The next prime is 1001110110227. The reversal of 1001110110200 is 20110111001.

It is a happy number.

It is a super-2 number, since 2×10011101102002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10711271 + ... + 10804329.

Almost surely, 21001110110200 is an apocalyptic number.

1001110110200 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 1001110110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236523117500).

1001110110200 is an abundant number, since it is smaller than the sum of its proper divisors (1471936124800).

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

1001110110200 is a wasteful number, since it uses less digits than its factorization.

1001110110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93262 (or 93234 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1001110110200 its reverse (20110111001), we get a palindrome (1021220221201).

The spelling of 1001110110200 in words is "one trillion, one billion, one hundred ten million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 149 152 190 200 298 361 380 475 596 722 745 760 950 1192 1444 1490 1805 1900 2831 2888 2980 3610 3725 3800 5662 5960 7220 7450 9025 11324 14155 14440 14900 18050 22648 28310 29800 36100 53789 56620 70775 72200 93059 107578 113240 141550 186118 215156 268945 283100 372236 430312 465295 537890 566200 744472 930590 1075780 1344725 1768121 1861180 2151560 2326475 2689450 3536242 3722360 4652950 5378900 7072484 8840605 9305900 10757800 13865791 14144968 17681210 18611800 27731582 33594299 35362420 44203025 55463164 67188598 69328955 70724840 88406050 110926328 134377196 138657910 167971495 176812100 263450029 268754392 277315820 335942990 346644775 353624200 526900058 554631640 671885980 693289550 839857475 1053800116 1317250145 1343771960 1386579100 1679714950 2107600232 2634500290 2773158200 3359429900 5005550551 5269000580 6586250725 6718859800 10011101102 10538001160 13172501450 20022202204 25027752755 26345002900 40044404408 50055505510 52690005800 100111011020 125138763775 200222022040 250277527550 500555055100 1001110110200