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1106319104 = 28111312999
BaseRepresentation
bin100000111110001…
…0001011100000000
32212002201211111122
41001330101130000
54231204202404
6301440131412
736262362062
oct10174213400
92762654448
101106319104
11518540a10
1226a606b68
13148283cb7
14a6d05732
15671d33be
hex41f11700

1106319104 has 72 divisors (see below), whose sum is σ = 2428272000. Its totient is φ = 498867200.

The previous prime is 1106319091. The next prime is 1106319107. The reversal of 1106319104 is 4019136011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106319107) 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 7 ways as a sum of consecutive naturals, for example, 367397 + ... + 370395.

It is an arithmetic number, because the mean of its divisors is an integer number (33726000).

Almost surely, 21106319104 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 1106319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214136000).

1106319104 is an abundant number, since it is smaller than the sum of its proper divisors (1321952896).

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

1106319104 is a wasteful number, since it uses less digits than its factorization.

1106319104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 1106319104 is about 33261.3755578449. The cubic root of 1106319104 is about 1034.2530349089.

The spelling of 1106319104 in words is "one billion, one hundred six million, three hundred nineteen thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 131 176 256 262 352 524 704 1048 1408 1441 2096 2816 2882 2999 4192 5764 5998 8384 11528 11996 16768 23056 23992 32989 33536 46112 47984 65978 92224 95968 131956 184448 191936 263912 368896 383872 392869 527824 767744 785738 1055648 1571476 2111296 3142952 4222592 4321559 6285904 8445184 8643118 12571808 17286236 25143616 34572472 50287232 69144944 100574464 138289888 276579776 553159552 1106319104