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1101134112 = 253131635413
BaseRepresentation
bin100000110100001…
…1111100100100000
32211201222102000220
41001220133210200
54223342242422
6301133043040
736200325351
oct10150374440
92751872026
101101134112
1151561a3a1
12268926480
13147189c60
14a6355d28
1566a0be5c
hex41a1f920

1101134112 has 96 divisors (see below), whose sum is σ = 3132497088. Its totient is φ = 336669696.

The previous prime is 1101134057. The next prime is 1101134143. The reversal of 1101134112 is 2114311011.

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

It is a super-2 number, since 2×11011341122 = 2424992665220057088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101134091 and 1101134100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200718 + ... + 206130.

It is an arithmetic number, because the mean of its divisors is an integer number (32630178).

Almost surely, 21101134112 is an apocalyptic number.

1101134112 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 1101134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566248544).

1101134112 is an abundant number, since it is smaller than the sum of its proper divisors (2031362976).

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

1101134112 is a wasteful number, since it uses less digits than its factorization.

1101134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5602 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 1101134112 is about 33183.3408806286. The cubic root of 1101134112 is about 1032.6347576244.

Adding to 1101134112 its reverse (2114311011), we get a palindrome (3215445123).

The spelling of 1101134112 in words is "one billion, one hundred one million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 163 208 312 326 416 489 624 652 978 1248 1304 1956 2119 2608 3912 4238 5216 5413 6357 7824 8476 10826 12714 15648 16239 16952 21652 25428 32478 33904 43304 50856 64956 67808 70369 86608 101712 129912 140738 173216 203424 211107 259824 281476 422214 519648 562952 844428 882319 1125904 1688856 1764638 2251808 2646957 3377712 3529276 5293914 6755424 7058552 10587828 11470147 14117104 21175656 22940294 28234208 34410441 42351312 45880588 68820882 84702624 91761176 137641764 183522352 275283528 367044704 550567056 1101134112