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3311130100 = 2252291141769
BaseRepresentation
bin1100010101011011…
…1101010111110100
322112202110211121011
43011112331113310
523240122130400
61304321002004
7145024066345
oct30526752764
98482424534
103311130100
11144a057063
12784a83304
13409cab3a5
14235a760cc
15145a508ba
hexc55bd5f4

3311130100 has 36 divisors (see below), whose sum is σ = 7432922700. Its totient is φ = 1278780160.

The previous prime is 3311130083. The next prime is 3311130107. The reversal of 3311130100 is 10311133.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12236004 + 3298894096 = 3498^2 + 57436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311130107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 567985 + ... + 573784.

It is an arithmetic number, because the mean of its divisors is an integer number (206470075).

Almost surely, 23311130100 is an apocalyptic number.

It is an amenable number.

3311130100 is an abundant number, since it is smaller than the sum of its proper divisors (4121792600).

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

3311130100 is a wasteful number, since it uses less digits than its factorization.

3311130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141812 (or 1141805 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 3311130100 is about 57542.4200047235. The cubic root of 3311130100 is about 1490.4774681079.

Adding to 3311130100 its reverse (10311133), we get a palindrome (3321441233).

The spelling of 3311130100 in words is "three billion, three hundred eleven million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 1141769 2283538 4567076 5708845 11417690 22835380 28544225 33111301 57088450 66222602 114176900 132445204 165556505 331113010 662226020 827782525 1655565050 3311130100