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1121011110 = 233517283863
BaseRepresentation
bin100001011010001…
…0100010110100110
32220010101021011000
41002310110112212
54243434323420
6303123054130
736531302652
oct10264242646
92803337130
101121011110
1152586626a
12273511346
1314b3293ab
14a8c4ba62
1568636690
hex42d145a6

1121011110 has 128 divisors (see below), whose sum is σ = 3180072960. Its totient is φ = 280032768.

The previous prime is 1121011081. The next prime is 1121011123. The reversal of 1121011110 is 111101211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1121011092 and 1121011101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1298539 + ... + 1299401.

It is an arithmetic number, because the mean of its divisors is an integer number (24844320).

Almost surely, 21121011110 is an apocalyptic number.

1121011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590036480).

1121011110 is an abundant number, since it is smaller than the sum of its proper divisors (2059061850).

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

1121011110 is a wasteful number, since it uses less digits than its factorization.

1121011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

The square root of 1121011110 is about 33481.5039984765. The cubic root of 1121011110 is about 1038.8112372505.

Adding to 1121011110 its reverse (111101211), we get a palindrome (1232112321).

The spelling of 1121011110 in words is "one billion, one hundred twenty-one million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 283 306 459 510 566 765 849 863 918 1415 1530 1698 1726 2295 2547 2589 2830 4245 4315 4590 4811 5094 5178 7641 7767 8490 8630 9622 12735 12945 14433 14671 15282 15534 23301 24055 25470 25890 28866 29342 38205 38835 43299 44013 46602 48110 72165 73355 76410 77670 86598 88026 116505 129897 132039 144330 146710 216495 220065 233010 244229 259794 264078 396117 432990 440130 488458 649485 660195 732687 792234 1221145 1298970 1320390 1465374 1980585 2198061 2442290 3663435 3961170 4151893 4396122 6594183 7326870 8303786 10990305 12455679 13188366 20759465 21980610 24911358 32970915 37367037 41518930 62278395 65941830 74734074 112101111 124556790 186835185 224202222 373670370 560505555 1121011110