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11114404312 = 23111941197823
BaseRepresentation
bin10100101100111100…
…00101100111011000
31001200120201020110011
422112132011213120
5140230241414222
65034512131304
7542265610054
oct122636054730
931616636404
1011114404312
114793878510
1221a2236b34
1310818425cb
14776170c64
15450b3bc77
hex2967859d8

11114404312 has 128 divisors (see below), whose sum is σ = 24668582400. Its totient is φ = 4640025600.

The previous prime is 11114404267. The next prime is 11114404339. The reversal of 11114404312 is 21340441111.

11114404312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13504333 + ... + 13505155.

It is an arithmetic number, because the mean of its divisors is an integer number (192723300).

Almost surely, 211114404312 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 11114404312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12334291200).

11114404312 is an abundant number, since it is smaller than the sum of its proper divisors (13554178088).

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

11114404312 is a wasteful number, since it uses less digits than its factorization.

11114404312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 11114404312 its reverse (21340441111), we get a palindrome (32454845423).

The spelling of 11114404312 in words is "eleven billion, one hundred fourteen million, four hundred four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 41 44 76 82 88 152 164 197 209 328 394 418 451 779 788 823 836 902 1558 1576 1646 1672 1804 2167 3116 3292 3608 3743 4334 6232 6584 7486 8077 8569 8668 9053 14972 15637 16154 17138 17336 18106 29944 31274 32308 33743 34276 36212 41173 62548 64616 67486 68552 72424 82346 88847 125096 134972 153463 162131 164692 172007 177694 269944 306926 324262 329384 344014 355388 371173 613852 641117 648524 688028 710776 742346 1227704 1282234 1297048 1376056 1484692 1688093 1783441 2564468 2969384 3080489 3376186 3566882 5128936 6160978 6647371 6752372 7052287 7133764 12321956 13294742 13504744 14104574 14267528 24643912 26589484 28209148 33885379 53178968 56418296 67770758 73121081 126300049 135541516 146242162 252600098 271083032 292484324 505200196 584968648 1010400392 1389300539 2778601078 5557202156 11114404312