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110311303312 = 24723773113461
BaseRepresentation
bin110011010111100010…
…0001110100010010000
3101112201210011211020101
41212233010032202100
53301404143201222
6122402030022144
710653421415200
oct1465704164220
9345653154211
10110311303312
1142867944981
1219467047954
13a52cb54852
1454a669a400
152d095da927
hex19af10e890

110311303312 has 240 divisors, whose sum is σ = 261696969072. Its totient is φ = 44869386240.

The previous prime is 110311303303. The next prime is 110311303337. The reversal of 110311303312 is 213303113011.

It can be written as a sum of positive squares in 8 ways, for example, as 2677441536 + 107633861776 = 51744^2 + 328076^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 110311303312.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239286762 + ... + 239287222.

Almost surely, 2110311303312 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 110311303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130848484536).

110311303312 is an abundant number, since it is smaller than the sum of its proper divisors (151385665760).

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

110311303312 is a wasteful number, since it uses less digits than its factorization.

110311303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 110311303312 its reverse (213303113011), we get a palindrome (323614416323).

The spelling of 110311303312 in words is "one hundred ten billion, three hundred eleven million, three hundred three thousand, three hundred twelve".