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3104441100 = 2233522349991
BaseRepresentation
bin1011100100001010…
…0000001100001100
322000100112221121000
42321002200030030
522324214103400
61232014540300
7136634212455
oct27102401414
98010487530
103104441100
111353415602
12727807690
133a62215c7
1421643212c
15132824600
hexb90a030c

3104441100 has 144 divisors (see below), whose sum is σ = 10414333440. Its totient is φ = 791841600.

The previous prime is 3104441089. The next prime is 3104441161. The reversal of 3104441100 is 11444013.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37105 + ... + 87095.

It is an arithmetic number, because the mean of its divisors is an integer number (72321760).

Almost surely, 23104441100 is an apocalyptic number.

3104441100 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 3104441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207166720).

3104441100 is an abundant number, since it is smaller than the sum of its proper divisors (7309892340).

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

3104441100 is a wasteful number, since it uses less digits than its factorization.

3104441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50037 (or 50024 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3104441100 is about 55717.5116099059. The cubic root of 3104441100 is about 1458.7957010814.

Adding to 3104441100 its reverse (11444013), we get a palindrome (3115885113).

The spelling of 3104441100 in words is "three billion, one hundred four million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 27 30 36 45 46 50 54 60 69 75 90 92 100 108 115 135 138 150 180 207 225 230 270 276 300 345 414 450 460 540 575 621 675 690 828 900 1035 1150 1242 1350 1380 1725 2070 2300 2484 2700 3105 3450 4140 5175 6210 6900 10350 12420 15525 20700 31050 49991 62100 99982 149973 199964 249955 299946 449919 499910 599892 749865 899838 999820 1149793 1249775 1349757 1499730 1799676 2249595 2299586 2499550 2699514 2999460 3449379 3749325 4499190 4599172 4999100 5399028 5748965 6748785 6898758 7498650 8998380 10348137 11247975 11497930 13497570 13797516 14997300 17246895 20696274 22495950 22995860 26995140 28744825 31044411 33743925 34493790 41392548 44991900 51740685 57489650 62088822 67487850 68987580 86234475 103481370 114979300 124177644 134975700 155222055 172468950 206962740 258703425 310444110 344937900 517406850 620888220 776110275 1034813700 1552220550 3104441100