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11114112320 = 265198532143
BaseRepresentation
bin10100101100111001…
…11110010101000000
31001200120011101220122
422112130332111000
5140230203043240
65034501555412
7542263252553
oct122634762500
931616141818
1011114112320
1147936990a3
1221a2115b68
13108176c72c
147760d669a
15450ad04b5
hex29673e540

11114112320 has 112 divisors (see below), whose sum is σ = 27904074240. Its totient is φ = 4204763136.

The previous prime is 11114112319. The next prime is 11114112323. The reversal of 11114112320 is 2321141111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11114112323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5185169 + ... + 5187311.

It is an arithmetic number, because the mean of its divisors is an integer number (249143520).

Almost surely, 211114112320 is an apocalyptic number.

11114112320 is a gapful number since it is divisible by the number (10) 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 11114112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13952037120).

11114112320 is an abundant number, since it is smaller than the sum of its proper divisors (16789961920).

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

11114112320 is a wasteful number, since it uses less digits than its factorization.

11114112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 11114112320 its reverse (2321141111), we get a palindrome (13435253431).

The spelling of 11114112320 in words is "eleven billion, one hundred fourteen million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 853 1216 1520 1706 2143 3040 3412 4265 4286 6080 6824 8530 8572 10715 13648 16207 17060 17144 21430 27296 32414 34120 34288 40717 42860 54592 64828 68240 68576 81035 81434 85720 129656 136480 137152 162070 162868 171440 203585 259312 272960 324140 325736 342880 407170 518624 648280 651472 685760 814340 1037248 1296560 1302944 1628680 1827979 2593120 2605888 3257360 3655958 5186240 6514720 7311916 9139895 13029440 14623832 18279790 29247664 34731601 36559580 58495328 69463202 73119160 116990656 138926404 146238320 173658005 277852808 292476640 347316010 555705616 584953280 694632020 1111411232 1389264040 2222822464 2778528080 5557056160 11114112320