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2232112112322 = 23539679725201
BaseRepresentation
bin100000011110110100001…
…111111110001011000010
321220101110201201212020220
4200132310033332023002
5243032331200043242
64425230153043510
7320156550622551
oct40366417761302
97811421655226
102232112112322
117906a7107294
123007219b6596
131326446b7631
147a06b6d9d98
153d0e06d6bec
hex207b43fe2c2

2232112112322 has 32 divisors (see below), whose sum is σ = 4548931073280. Its totient is φ = 729922502400.

The previous prime is 2232112112311. The next prime is 2232112112369.

2232112112322 is nontrivially palindromic in base 10.

2232112112322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22321121123223 (a number of 38 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2232112112292 and 2232112112301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2715322 + ... + 3440522.

It is an arithmetic number, because the mean of its divisors is an integer number (142154096040).

Almost surely, 22232112112322 is an apocalyptic number.

2232112112322 is an abundant number, since it is smaller than the sum of its proper divisors (2316818960958).

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

2232112112322 is a wasteful number, since it uses less digits than its factorization.

2232112112322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734938.

The product of its digits is 1152, while the sum is 24.

The spelling of 2232112112322 in words is "two trillion, two hundred thirty-two billion, one hundred twelve million, one hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 53 106 159 318 9679 19358 29037 58074 512987 725201 1025974 1450402 1538961 2175603 3077922 4351206 38435653 76871306 115306959 230613918 7019220479 14038440958 21057661437 42115322874 372018685387 744037370774 1116056056161 2232112112322