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11010221010 = 2325541226129
BaseRepresentation
bin10100100000100001…
…01010001111010010
31001102022200011211100
422100100222033102
5140022104033020
65020311125230
7536562222465
oct122020521722
931368604740
1011010221010
11473aa8a008
122173373816
131066095999
147663b12dc
1544690ca90
hex29042a3d2

11010221010 has 48 divisors (see below), whose sum is σ = 28679615640. Its totient is φ = 2930618880.

The previous prime is 11010221009. The next prime is 11010221011. The reversal of 11010221010 is 1012201011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11010221009) and next prime (11010221011).

It can be written as a sum of positive squares in 4 ways, for example, as 7388949681 + 3621271329 = 85959^2 + 60177^2 .

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 = 11010220983 and 11010221001.

It is not an unprimeable number, because it can be changed into a prime (11010221011) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 64375 + ... + 161754.

Almost surely, 211010221010 is an apocalyptic number.

11010221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11010221010 is an abundant number, since it is smaller than the sum of its proper divisors (17669394630).

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

11010221010 is a wasteful number, since it uses less digits than its factorization.

11010221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226683 (or 226680 counting only the distinct ones).

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

Adding to 11010221010 its reverse (1012201011), we get a palindrome (12022422021).

The spelling of 11010221010 in words is "eleven billion, ten million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 541 1082 1623 2705 3246 4869 5410 8115 9738 16230 24345 48690 226129 452258 678387 1130645 1356774 2035161 2261290 3391935 4070322 6783870 10175805 20351610 122335789 244671578 367007367 611678945 734014734 1101022101 1223357890 1835036835 2202044202 3670073670 5505110505 11010221010