Search a number
-
+
1100191104 = 27321376971
BaseRepresentation
bin100000110010011…
…1001010110000000
32211200012111110200
41001210321112000
54223122103404
6301100525200
736156320145
oct10144712600
92750174420
101100191104
11515035951
12268550800
13146c1996c
14a618c3cc
15668c2839
hex41939580

1100191104 has 96 divisors (see below), whose sum is σ = 3189480840. Its totient is φ = 364001280.

The previous prime is 1100191097. The next prime is 1100191109. The reversal of 1100191104 is 4011910011.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100191109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 154339 + ... + 161309.

Almost surely, 21100191104 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 1100191104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594740420).

1100191104 is an abundant number, since it is smaller than the sum of its proper divisors (2089289736).

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

1100191104 is a wasteful number, since it uses less digits than its factorization.

1100191104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7128 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 1100191104 is about 33169.1287796348. The cubic root of 1100191104 is about 1032.3398916491.

The spelling of 1100191104 in words is "one billion, one hundred million, one hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 274 288 384 411 548 576 822 1096 1152 1233 1644 2192 2466 3288 4384 4932 6576 6971 8768 9864 13152 13942 17536 19728 20913 26304 27884 39456 41826 52608 55768 62739 78912 83652 111536 125478 157824 167304 223072 250956 334608 446144 501912 669216 892288 955027 1003824 1338432 1910054 2007648 2676864 2865081 3820108 4015296 5730162 7640216 8030592 8595243 11460324 15280432 17190486 22920648 30560864 34380972 45841296 61121728 68761944 91682592 122243456 137523888 183365184 275047776 366730368 550095552 1100191104