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110001221010 = 23254129810629
BaseRepresentation
bin110011001110010010…
…1010110110110010010
3101111221011201000021200
41212130211112312102
53300240303033020
6122311151532030
710642634644152
oct1463445266622
9344834630250
10110001221010
114271890450a
121939b22a016
13a4b08368b5
145477420762
152cdc289590
hex199c956d92

110001221010 has 48 divisors (see below), whose sum is σ = 292978871640. Its totient is φ = 28618202880.

The previous prime is 110001220999. The next prime is 110001221021. The reversal of 110001221010 is 10122100011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110001220999) and next prime (110001221021).

It can be written as a sum of positive squares in 4 ways, for example, as 22249600569 + 87751620441 = 149163^2 + 296229^2 .

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 = 110001220983 and 110001221001.

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 23 ways as a sum of consecutive naturals, for example, 14901625 + ... + 14909004.

Almost surely, 2110001221010 is an apocalyptic number.

110001221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110001221010 is an abundant number, since it is smaller than the sum of its proper divisors (182977650630).

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

110001221010 is a wasteful number, since it uses less digits than its factorization.

110001221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29810683 (or 29810680 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110001221010 its reverse (10122100011), we get a palindrome (120123321021).

The spelling of 110001221010 in words is "one hundred ten billion, one million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 29810629 59621258 89431887 149053145 178863774 268295661 298106290 447159435 536591322 894318870 1222235789 1341478305 2444471578 2682956610 3666707367 6111178945 7333414734 11000122101 12222357890 18333536835 22000244202 36667073670 55000610505 110001221010