Search a number
-
+
1123103104 = 2789311317
BaseRepresentation
bin100001011110001…
…0011000110000000
32220021022112211021
41002330103012000
54300003244404
6303235555224
736555135034
oct10274230600
92807275737
101123103104
11526a64a92
1227415bb14
1314b8ac666
14a92341c4
15688eb454
hex42f13180

1123103104 has 64 divisors (see below), whose sum is σ = 2277007200. Its totient is φ = 551710720.

The previous prime is 1123103099. The next prime is 1123103131. The reversal of 1123103104 is 4013013211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11231031042 = 2522721164428869632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3542754 + ... + 3543070.

Almost surely, 21123103104 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 1123103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138503600).

1123103104 is an abundant number, since it is smaller than the sum of its proper divisors (1153904096).

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

1123103104 is an equidigital number, since it uses as much as digits as its factorization.

1123103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1123103104 is about 33512.7304766413. The cubic root of 1123103104 is about 1039.4570341306.

Adding to 1123103104 its reverse (4013013211), we get a palindrome (5136116315).

The spelling of 1123103104 in words is "one billion, one hundred twenty-three million, one hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 89 128 178 311 317 356 622 634 712 1244 1268 1424 2488 2536 2848 4976 5072 5696 9952 10144 11392 19904 20288 27679 28213 39808 40576 55358 56426 98587 110716 112852 197174 221432 225704 394348 442864 451408 788696 885728 902816 1577392 1771456 1805632 3154784 3542912 3611264 6309568 8774243 12619136 17548486 35096972 70193944 140387888 280775776 561551552 1123103104