Search a number
-
+
1102004112 = 24311347367
BaseRepresentation
bin100000110101111…
…0011111110010000
32211210121121110010
41001223303332100
54224103112422
6301203434520
736210610656
oct10153637620
92753547403
101102004112
11516064000
12269085a40
13147402c51
14a6500dd6
1566b2eb0c
hex41af3f90

1102004112 has 160 divisors (see below), whose sum is σ = 3206651904. Its totient is φ = 325944960.

The previous prime is 1102004081. The next prime is 1102004119. The reversal of 1102004112 is 2114002011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1102004119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3002553 + ... + 3002919.

Almost surely, 21102004112 is an apocalyptic number.

1102004112 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 1102004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603325952).

1102004112 is an abundant number, since it is smaller than the sum of its proper divisors (2104647792).

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

1102004112 is a wasteful number, since it uses less digits than its factorization.

1102004112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1102004112 is about 33196.4472797919. The cubic root of 1102004112 is about 1032.9066457103.

Adding to 1102004112 its reverse (2114002011), we get a palindrome (3216006123).

The spelling of 1102004112 in words is "one billion, one hundred two million, four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 121 132 141 176 188 242 264 282 363 367 376 484 517 528 564 726 734 752 968 1034 1101 1128 1331 1452 1468 1551 1936 2068 2202 2256 2662 2904 2936 3102 3993 4037 4136 4404 5324 5687 5808 5872 6204 7986 8074 8272 8808 10648 11374 12111 12408 15972 16148 17061 17249 17616 21296 22748 24222 24816 31944 32296 34122 34498 44407 45496 48444 51747 62557 63888 64592 68244 68996 88814 90992 96888 103494 125114 133221 136488 137992 177628 187671 189739 193776 206988 250228 266442 272976 275984 355256 375342 379478 413976 488477 500456 532884 569217 710512 750684 758956 827952 976954 1000912 1065768 1138434 1465431 1501368 1517912 1953908 2087129 2131536 2276868 2930862 3002736 3035824 3907816 4174258 4553736 5861724 6261387 7815632 8348516 9107472 11723448 12522774 16697032 22958419 23446896 25045548 33394064 45916838 50091096 68875257 91833676 100182192 137750514 183667352 275501028 367334704 551002056 1102004112