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11220033012 = 2232575216983
BaseRepresentation
bin10100111001100010…
…00001110111110100
31001221221110201210020
422130301001313310
5140434312024022
65053204125140
7545020464336
oct123461016764
931857421706
1011220033012
114838463961
1222116967b0
13109a6a70b6
147861c9456
1545a05435c
hex29cc41df4

11220033012 has 48 divisors (see below), whose sum is σ = 26336161152. Its totient is φ = 3717775360.

The previous prime is 11220032917. The next prime is 11220033023. The reversal of 11220033012 is 21033002211.

11220033012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11220032982 and 11220033000.

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 15 ways as a sum of consecutive naturals, for example, 1603273 + ... + 1610255.

It is an arithmetic number, because the mean of its divisors is an integer number (548670024).

Almost surely, 211220033012 is an apocalyptic number.

11220033012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11220033012 is an abundant number, since it is smaller than the sum of its proper divisors (15116128140).

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

11220033012 is a wasteful number, since it uses less digits than its factorization.

11220033012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7768 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11220033012 its reverse (21033002211), we get a palindrome (32253035223).

The spelling of 11220033012 in words is "eleven billion, two hundred twenty million, thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 257 514 521 771 1028 1042 1542 1563 2084 3084 3126 6252 6983 13966 20949 27932 41898 83796 133897 267794 401691 535588 803382 1606764 1794631 3589262 3638143 5383893 7178524 7276286 10767786 10914429 14552572 21535572 21828858 43657716 935002751 1870005502 2805008253 3740011004 5610016506 11220033012