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1104104100 = 22352111719681
BaseRepresentation
bin100000111001111…
…0100101010100100
32211221120022002110
41001303310222210
54230122312400
6301320441020
736234505251
oct10163645244
92757508073
101104104100
11517268830
12269919170
13147989a48
14a68ca428
1566de6e50
hex41cf4aa4

1104104100 has 144 divisors (see below), whose sum is σ = 3690138816. Its totient is φ = 251904000.

The previous prime is 1104104093. The next prime is 1104104107. The reversal of 1104104100 is 14014011.

It is an interprime number because it is at equal distance from previous prime (1104104093) and next prime (1104104107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1104104107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46260 + ... + 65940.

It is an arithmetic number, because the mean of its divisors is an integer number (25625964).

Almost surely, 21104104100 is an apocalyptic number.

1104104100 is a gapful number since it is divisible by the number (10) 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 1104104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845069408).

1104104100 is an abundant number, since it is smaller than the sum of its proper divisors (2586034716).

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

1104104100 is a wasteful number, since it uses less digits than its factorization.

1104104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19726 (or 19719 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1104104100 is about 33228.0619356591. The cubic root of 1104104100 is about 1033.5623344932.

Adding to 1104104100 its reverse (14014011), we get a palindrome (1118118111).

The spelling of 1104104100 in words is "one billion, one hundred four million, one hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 19681 28050 39362 56100 59043 78724 98405 118086 196810 216491 236172 295215 334577 393620 432982 492025 590430 649473 669154 865964 984050 1003731 1082455 1180860 1298946 1338308 1476075 1672885 1968100 2007462 2164910 2597892 2952150 3247365 3345770 3680347 4014924 4329820 5018655 5412275 5904300 6494730 6691540 7360694 8364425 10037310 10824550 11041041 12989460 14721388 16236825 16728850 18401735 20074620 21649100 22082082 25093275 32473650 33457700 36803470 44164164 50186550 55205205 64947300 73606940 92008675 100373100 110410410 184017350 220820820 276026025 368034700 552052050 1104104100