Search a number
-
+
1103311092 = 223132599221
BaseRepresentation
bin100000111000011…
…0011000011110100
32211220002000021210
41001300303003310
54224421423332
6301251441420
736224663262
oct10160630364
92756060253
101103311092
11516876a54
122695b6270
1314776cb00
14a6761432
1566cdbecc
hex41c330f4

1103311092 has 72 divisors (see below), whose sum is σ = 2835211680. Its totient is φ = 333690240.

The previous prime is 1103311091. The next prime is 1103311093. The reversal of 1103311092 is 2901133011.

It is an interprime number because it is at equal distance from previous prime (1103311091) and next prime (1103311093).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103311091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115042 + ... + 124262.

It is an arithmetic number, because the mean of its divisors is an integer number (39377940).

Almost surely, 21103311092 is an apocalyptic number.

1103311092 is a gapful number since it is divisible by the number (12) 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 1103311092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417605840).

1103311092 is an abundant number, since it is smaller than the sum of its proper divisors (1731900588).

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

1103311092 is a wasteful number, since it uses less digits than its factorization.

1103311092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9313 (or 9298 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 1103311092 is about 33216.1269867515. The cubic root of 1103311092 is about 1033.3148277875.

The spelling of 1103311092 in words is "one billion, one hundred three million, three hundred eleven thousand, ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 169 177 236 338 354 507 676 708 767 1014 1534 2028 2301 3068 4602 9204 9221 9971 18442 19942 27663 29913 36884 39884 55326 59826 110652 119652 119873 239746 359619 479492 544039 719238 1088078 1438476 1558349 1632117 2176156 3116698 3264234 4675047 6233396 6528468 7072507 9350094 14145014 18700188 21217521 28290028 42435042 84870084 91942591 183885182 275827773 367770364 551655546 1103311092