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111313112320 = 285611425629
BaseRepresentation
bin110011110101011000…
…1110100110100000000
3101122022121020222211201
41213222301310310000
53310432124043240
6123045254150544
711020304562154
oct1475261646400
9348277228751
10111313112320
1143231393903
12196a6652454
13a65c576247
14555d759064
152d67527d9a
hex19eac74d00

111313112320 has 72 divisors (see below), whose sum is σ = 271000857960. Its totient is φ = 43795292160.

The previous prime is 111313112293. The next prime is 111313112399. The reversal of 111313112320 is 23211313111.

It can be written as a sum of positive squares in 4 ways, for example, as 9209857024 + 102103255296 = 95968^2 + 319536^2 .

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 7 ways as a sum of consecutive naturals, for example, 634735 + ... + 790894.

It is an arithmetic number, because the mean of its divisors is an integer number (3763900805).

Almost surely, 2111313112320 is an apocalyptic number.

111313112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111313112320 is an abundant number, since it is smaller than the sum of its proper divisors (159687745640).

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

111313112320 is an equidigital number, since it uses as much as digits as its factorization.

111313112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425711 (or 1425697 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 111313112320 its reverse (23211313111), we get a palindrome (134524425431).

The spelling of 111313112320 in words is "one hundred eleven billion, three hundred thirteen million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 610 640 976 1220 1280 1952 2440 3904 4880 7808 9760 15616 19520 39040 78080 1425629 2851258 5702516 7128145 11405032 14256290 22810064 28512580 45620128 57025160 86963369 91240256 114050320 173926738 182480512 228100640 347853476 364961024 434816845 456201280 695706952 869633690 912402560 1391413904 1739267380 1824805120 2782827808 3478534760 5565655616 6957069520 11131311232 13914139040 22262622464 27828278080 55656556160 111313112320