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112022010022221 = 32132233331568897
BaseRepresentation
bin11001011110001000101000…
…000111010100100101001101
3112200122012101111010121110100
4121132020220013110211031
5104140332034031202341
61034130111224001313
732411215560234615
oct3136105007244515
9480565344117410
10112022010022221
113276a2a4282492
1210692748600239
134a67826786500
141d93c73a1da45
15ce3e39b4d3b6
hex65e2281d494d

112022010022221 has 36 divisors (see below), whose sum is σ = 175289021070228. Its totient is φ = 68907070881792.

The previous prime is 112022010022211. The next prime is 112022010022243. The reversal of 112022010022221 is 122220010220211.

It is a happy number.

112022010022221 is a `hidden beast` number, since 1 + 120 + 220 + 100 + 2 + 2 + 221 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 48584942684100 + 63437067338121 = 6970290^2 + 7964739^2 .

It is not a de Polignac number, because 112022010022221 - 25 = 112022010022189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112022010022194 and 112022010022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112022010022211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12235956 + ... + 19332941.

It is an arithmetic number, because the mean of its divisors is an integer number (4869139474173).

Almost surely, 2112022010022221 is an apocalyptic number.

It is an amenable number.

112022010022221 is a deficient number, since it is larger than the sum of its proper divisors (63267011048007).

112022010022221 is a wasteful number, since it uses less digits than its factorization.

112022010022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31571262 (or 31571246 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112022010022221 its reverse (122220010220211), we get a palindrome (234242020242432).

The spelling of 112022010022221 in words is "one hundred twelve trillion, twenty-two billion, ten million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 2333 6999 20997 30329 90987 272961 394277 1182831 3548493 31568897 94706691 284120073 410395661 1231186983 3693560949 5335143593 16005430779 48016292337 73650236701 220950710103 662852130309 957453077113 2872359231339 8617077694017 12446890002469 37340670007407 112022010022221