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11220002010 = 233575936509
BaseRepresentation
bin10100111001100001…
…11010010011011010
31001221221102011021000
422130300322103122
5140434310031020
65053203325430
7545020305060
oct123460722332
931857364230
1011220002010
114838442638
122211680876
13109a695c59
147861bc030
1545a04a090
hex29cc3a4da

11220002010 has 64 divisors (see below), whose sum is σ = 34194297600. Its totient is φ = 2564571456.

The previous prime is 11220001981. The next prime is 11220002041. The reversal of 11220002010 is 1020002211.

11220002010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11220001983 and 11220002001.

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 31 ways as a sum of consecutive naturals, for example, 2966365 + ... + 2970144.

It is an arithmetic number, because the mean of its divisors is an integer number (534285900).

Almost surely, 211220002010 is an apocalyptic number.

11220002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11220002010 is an abundant number, since it is smaller than the sum of its proper divisors (22974295590).

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

11220002010 is a wasteful number, since it uses less digits than its factorization.

11220002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936532 (or 5936526 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11220002010 its reverse (1020002211), we get a palindrome (12240004221).

The spelling of 11220002010 in words is "eleven billion, two hundred twenty million, two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 5936509 11873018 17809527 29682545 35619054 41555563 53428581 59365090 83111126 89047635 106857162 124666689 160285743 178095270 207777815 249333378 267142905 320571486 374000067 415555630 534285810 623333445 748000134 801428715 1122000201 1246666890 1602857430 1870000335 2244000402 3740000670 5610001005 11220002010