Search a number
-
+
1101100104 = 2332137914891
BaseRepresentation
bin100000110100001…
…0111010001001000
32211201220200101100
41001220113101020
54223340200404
6301132221400
736200124246
oct10150272110
92751820340
101101100104
115155a6895
1226890a860
13147177630
14a6347796
1566a01d39
hex41a17448

1101100104 has 96 divisors (see below), whose sum is σ = 3252412800. Its totient is φ = 334488960.

The previous prime is 1101100073. The next prime is 1101100123. The reversal of 1101100104 is 4010011011.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 66499 + ... + 81389.

It is an arithmetic number, because the mean of its divisors is an integer number (33879300).

Almost surely, 21101100104 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 1101100104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626206400).

1101100104 is an abundant number, since it is smaller than the sum of its proper divisors (2151312696).

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

1101100104 is a wasteful number, since it uses less digits than its factorization.

1101100104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14995 (or 14988 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1101100104 is about 33182.8284508720. The cubic root of 1101100104 is about 1032.6241267049.

Adding to 1101100104 its reverse (4010011011), we get a palindrome (5111111115).

The spelling of 1101100104 in words is "one billion, one hundred one million, one hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 79 104 117 156 158 234 237 312 316 468 474 632 711 936 948 1027 1422 1896 2054 2844 3081 4108 5688 6162 8216 9243 12324 14891 18486 24648 29782 36972 44673 59564 73944 89346 119128 134019 178692 193583 268038 357384 387166 536076 580749 774332 1072152 1161498 1176389 1548664 1742247 2322996 2352778 3484494 3529167 4645992 4705556 6968988 7058334 9411112 10587501 13937976 14116668 15293057 21175002 28233336 30586114 42350004 45879171 61172228 84700008 91758342 122344456 137637513 183516684 275275026 367033368 550550052 1101100104