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1110221001200 = 245229197485831
BaseRepresentation
bin10000001001111110010…
…101000001000111110000
310221010200012200102111202
4100021332111001013300
5121142213034014300
62210010053030332
7143132211542603
oct20117625010760
93833605612452
101110221001200
113989298a2523
1215b2029253a8
13809024c3a8c
143ba40b1833a
151dd2ce65ad5
hex1027e5411f0

1110221001200 has 120 divisors (see below), whose sum is σ = 2773294238880. Its totient is φ = 426597606400.

The previous prime is 1110221001167. The next prime is 1110221001251. The reversal of 1110221001200 is 21001220111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2042285 + ... + 2528115.

It is an arithmetic number, because the mean of its divisors is an integer number (23110785324).

Almost surely, 21110221001200 is an apocalyptic number.

1110221001200 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 1110221001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386647119440).

1110221001200 is an abundant number, since it is smaller than the sum of its proper divisors (1663073237680).

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

1110221001200 is a wasteful number, since it uses less digits than its factorization.

1110221001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486075 (or 486064 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1110221001200 its reverse (21001220111), we get a palindrome (1131222221311).

The spelling of 1110221001200 in words is "one trillion, one hundred ten billion, two hundred twenty-one million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 197 200 232 290 394 400 464 580 725 788 985 1160 1450 1576 1970 2320 2900 3152 3940 4925 5713 5800 7880 9850 11426 11600 15760 19700 22852 28565 39400 45704 57130 78800 91408 114260 142825 228520 285650 457040 485831 571300 971662 1142600 1943324 2285200 2429155 3886648 4858310 7773296 9716620 12145775 14089099 19433240 24291550 28178198 38866480 48583100 56356396 70445495 95708707 97166200 112712792 140890990 191417414 194332400 225425584 281781980 352227475 382834828 478543535 563563960 704454950 765669656 957087070 1127127920 1408909900 1531339312 1914174140 2392717675 2775552503 2817819800 3828348280 4785435350 5551105006 5635639600 7656696560 9570870700 11102210012 13877762515 19141741400 22204420024 27755525030 38283482800 44408840048 55511050060 69388812575 111022100120 138777625150 222044200240 277555250300 555110500600 1110221001200