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112055333120 = 285829105601
BaseRepresentation
bin110100001011100000…
…1001011000100000000
3101201020022212201100222
41220113001023010000
53313442131124440
6123251050402212
711044556421203
oct1502701130400
9351208781328
10112055333120
1143582350325
1219873130368
13a74a278c53
1455d016393a
152dac78a2b5
hex1a1704b100

112055333120 has 72 divisors (see below), whose sum is σ = 268733857560. Its totient is φ = 44767641600.

The previous prime is 112055333119. The next prime is 112055333189. The reversal of 112055333120 is 21333550211.

It can be written as a sum of positive squares in 4 ways, for example, as 43804815616 + 68250517504 = 209296^2 + 261248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112055333120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008320 + ... + 1113920.

Almost surely, 2112055333120 is an apocalyptic number.

112055333120 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 112055333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134366928780).

112055333120 is an abundant number, since it is smaller than the sum of its proper divisors (156678524440).

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

112055333120 is an equidigital number, since it uses as much as digits as its factorization.

112055333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106451 (or 106437 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 112055333120 its reverse (21333550211), we get a palindrome (133388883331).

The spelling of 112055333120 in words is "one hundred twelve billion, fifty-five million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 829 1280 1658 3316 4145 6632 8290 13264 16580 26528 33160 53056 66320 105601 106112 132640 211202 212224 265280 422404 528005 530560 844808 1056010 1061120 1689616 2112020 3379232 4224040 6758464 8448080 13516928 16896160 27033856 33792320 67584640 87543229 135169280 175086458 350172916 437716145 700345832 875432290 1400691664 1750864580 2801383328 3501729160 5602766656 7003458320 11205533312 14006916640 22411066624 28013833280 56027666560 112055333120