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112202220032 = 29741974717
BaseRepresentation
bin110100001111111000…
…1100000001000000000
3101201121120021100022222
41220133301200020000
53314242232020112
6123313414550212
711051322064010
oct1503761401000
9351546240288
10112202220032
1143648256671
12198b4368368
13a771827b96
14560587bc40
152dba602372
hex1a1fc60200

112202220032 has 80 divisors (see below), whose sum is σ = 256826687040. Its totient is φ = 47971258368.

The previous prime is 112202219999. The next prime is 112202220061. The reversal of 112202220032 is 230022202211.

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, 1464338 + ... + 1539054.

It is an arithmetic number, because the mean of its divisors is an integer number (3210333588).

Almost surely, 2112202220032 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 112202220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128413343520).

112202220032 is an abundant number, since it is smaller than the sum of its proper divisors (144624467008).

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

112202220032 is an frugal number, since it uses more digits than its factorization.

112202220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75161 (or 75145 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 112202220032 its reverse (230022202211), we get a palindrome (342224422243).

The spelling of 112202220032 in words is "one hundred twelve billion, two hundred two million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 419 448 512 838 896 1676 1792 2933 3352 3584 5866 6704 11732 13408 23464 26816 46928 53632 74717 93856 107264 149434 187712 214528 298868 375424 523019 597736 750848 1046038 1195472 1501696 2092076 2390944 4184152 4781888 8368304 9563776 16736608 19127552 31306423 33473216 38255104 62612846 66946432 125225692 133892864 219144961 250451384 267785728 438289922 500902768 876579844 1001805536 1753159688 2003611072 3506319376 4007222144 7012638752 8014444288 14025277504 16028888576 28050555008 56101110016 112202220032