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3100223104 = 271111511913
BaseRepresentation
bin1011100011001001…
…1010011010000000
322000001121122120221
42320302122122000
522322124114404
61231344312424
7136553314216
oct27062323200
98001548527
103100223104
111350aa4560
12726312714
133a53a5754
14215a54cb6
1513228e954
hexb8c9a680

3100223104 has 64 divisors (see below), whose sum is σ = 6747079680. Its totient is φ = 1407232000.

The previous prime is 3100223089. The next prime is 3100223171. The reversal of 3100223104 is 4013220013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×31002231042 = 19222766589150789632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1619652 + ... + 1621564.

It is an arithmetic number, because the mean of its divisors is an integer number (105423120).

Almost surely, 23100223104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3100223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373539840).

3100223104 is an abundant number, since it is smaller than the sum of its proper divisors (3646856576).

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

3100223104 is a wasteful number, since it uses less digits than its factorization.

3100223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3100223104 is about 55679.6471253186. The cubic root of 3100223104 is about 1458.1347143299.

Adding to 3100223104 its reverse (4013220013), we get a palindrome (7113443117).

The spelling of 3100223104 in words is "three billion, one hundred million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1151 1408 1913 2302 3826 4604 7652 9208 12661 15304 18416 21043 25322 30608 36832 42086 50644 61216 73664 84172 101288 122432 147328 168344 202576 244864 336688 405152 673376 810304 1346752 1620608 2201863 2693504 4403726 8807452 17614904 24220493 35229808 48440986 70459616 96881972 140919232 193763944 281838464 387527888 775055776 1550111552 3100223104