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112122221320 = 23573128929789
BaseRepresentation
bin110100001101100000…
…0010101001100001000
3101201101222201222201201
41220123000111030020
53314111242040240
6123301440153544
711046331104424
oct1503300251410
9351358658651
10112122221320
114360708642a
12198916088b4
13a75b098275
1455d8db5b84
152db359dd9a
hex1a1b015308

112122221320 has 64 divisors (see below), whose sum is σ = 255937806000. Its totient is φ = 44198719488.

The previous prime is 112122221293. The next prime is 112122221329. The reversal of 112122221320 is 23122221211.

It can be written as a sum of positive squares in 8 ways, for example, as 37644536484 + 74477684836 = 194022^2 + 272906^2 .

It is not an unprimeable number, because it can be changed into a prime (112122221329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3748986 + ... + 3778774.

Almost surely, 2112122221320 is an apocalyptic number.

112122221320 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 112122221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127968903000).

112122221320 is an abundant number, since it is smaller than the sum of its proper divisors (143815584680).

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

112122221320 is a wasteful number, since it uses less digits than its factorization.

112122221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31162 (or 31158 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 112122221320 its reverse (23122221211), we get a palindrome (135244442531).

The spelling of 112122221320 in words is "one hundred twelve billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1289 1460 2578 2920 5156 6445 10312 12890 25780 29789 51560 59578 94097 119156 148945 188194 238312 297890 376388 470485 595780 752776 940970 1191560 1881940 2174597 3763880 4349194 8698388 10872985 17396776 21745970 38398021 43491940 76796042 86983880 153592084 191990105 307184168 383980210 767960420 1535920840 2803055533 5606111066 11212222132 14015277665 22424444264 28030555330 56061110660 112122221320