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11243112320 = 275111597033
BaseRepresentation
bin10100111100010010…
…00100011110000000
31002000112220021122102
422132021010132000
5141011214043240
65055350525532
7545420610056
oct123611043600
932015807572
1011243112320
11484a497770
1222193668a8
1310a23c7cab
147892b61d6
1545c0b2815
hex29e244780

11243112320 has 64 divisors (see below), whose sum is σ = 29321544240. Its totient is φ = 4088401920.

The previous prime is 11243112319. The next prime is 11243112371. The reversal of 11243112320 is 2321134211.

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

It is a super-3 number, since 3×112431123203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11243112292 and 11243112301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 791477 + ... + 805556.

Almost surely, 211243112320 is an apocalyptic number.

11243112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11243112320 is an abundant number, since it is smaller than the sum of its proper divisors (18078431920).

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

11243112320 is a wasteful number, since it uses less digits than its factorization.

11243112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597063 (or 1597051 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11243112320 its reverse (2321134211), we get a palindrome (13564246531).

The spelling of 11243112320 in words is "eleven billion, two hundred forty-three million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 1597033 3194066 6388132 7985165 12776264 15970330 17567363 25552528 31940660 35134726 51105056 63881320 70269452 87836815 102210112 127762640 140538904 175673630 204420224 255525280 281077808 351347260 511050560 562155616 702694520 1022101120 1124311232 1405389040 2248622464 2810778080 5621556160 11243112320