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3113330100 = 2235229335419
BaseRepresentation
bin1011100110010001…
…1010010110110100
322000222021120000020
42321210122112310
522334003030400
61232533245140
7140102604066
oct27144322664
98028246006
103113330100
111358436a91
1272a7937b0
133a801457a
142176a7736
151334cd2a0
hexb991a5b4

3113330100 has 72 divisors (see below), whose sum is σ = 9038900640. Its totient is φ = 827364480.

The previous prime is 3113330053. The next prime is 3113330111. The reversal of 3113330100 is 10333113.

3113330100 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3113330100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70191 + ... + 105609.

Almost surely, 23113330100 is an apocalyptic number.

3113330100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519450320).

3113330100 is an abundant number, since it is smaller than the sum of its proper divisors (5925570540).

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

3113330100 is a wasteful number, since it uses less digits than its factorization.

3113330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35729 (or 35722 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 3113330100 is about 55797.2230491805. The cubic root of 3113330100 is about 1460.1867059659.

Adding to 3113330100 its reverse (10333113), we get a palindrome (3123663213).

The spelling of 3113330100 in words is "three billion, one hundred thirteen million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 293 300 586 879 1172 1465 1758 2930 3516 4395 5860 7325 8790 14650 17580 21975 29300 35419 43950 70838 87900 106257 141676 177095 212514 354190 425028 531285 708380 885475 1062570 1770950 2125140 2656425 3541900 5312850 10377767 10625700 20755534 31133301 41511068 51888835 62266602 103777670 124533204 155666505 207555340 259444175 311333010 518888350 622666020 778332525 1037776700 1556665050 3113330100