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3113113300 = 22521115111873
BaseRepresentation
bin1011100110001110…
…0101011011010100
322000221212112121121
42321203211123110
522333424111200
61232524453324
7140101012033
oct27143453324
98027775547
103113113300
1113582a9110
1272a6aa244
133a7c6999b
1421764c71a
15133488e1a
hexb98e56d4

3113113300 has 72 divisors (see below), whose sum is σ = 7378402752. Its totient is φ = 1130688000.

The previous prime is 3113113277. The next prime is 3113113307. The reversal of 3113113300 is 33113113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113113307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1661164 + ... + 1663036.

It is an arithmetic number, because the mean of its divisors is an integer number (102477816).

Almost surely, 23113113300 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 3113113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689201376).

3113113300 is an abundant number, since it is smaller than the sum of its proper divisors (4265289452).

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

3113113300 is a wasteful number, since it uses less digits than its factorization.

3113113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 3113113300 is about 55795.2802663451. The cubic root of 3113113300 is about 1460.1528113026.

Adding to 3113113300 its reverse (33113113), we get a palindrome (3146226413).

The spelling of 3113113300 in words is "three billion, one hundred thirteen million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1511 1873 3022 3746 6044 7492 7555 9365 15110 16621 18730 20603 30220 33242 37460 37775 41206 46825 66484 75550 82412 83105 93650 103015 151100 166210 187300 206030 332420 412060 415525 515075 831050 1030150 1662100 2060300 2830103 5660206 11320412 14150515 28301030 31131133 56602060 62262266 70752575 124524532 141505150 155655665 283010300 311311330 622622660 778278325 1556556650 3113113300