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110311211322 = 23213471415433
BaseRepresentation
bin110011010111100001…
…1111000000100111010
3101112201210000011001100
41212233003320010322
53301404132230242
6122402024032230
710653420553044
oct1465703700472
9345653004040
10110311211322
1142867891854
1219467002676
13a52cb21a10
1454a6674a94
152d095bd54c
hex19af0f813a

110311211322 has 24 divisors (see below), whose sum is σ = 257392826964. Its totient is φ = 33941911104.

The previous prime is 110311211291. The next prime is 110311211327. The reversal of 110311211322 is 223112113011.

110311211322 is a `hidden beast` number, since 1 + 10 + 311 + 21 + 1 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106198426161 + 4112785161 = 325881^2 + 64131^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110311211295 and 110311211304.

It is not an unprimeable number, because it can be changed into a prime (110311211327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235707483 + ... + 235707950.

Almost surely, 2110311211322 is an apocalyptic number.

110311211322 is an abundant number, since it is smaller than the sum of its proper divisors (147081615642).

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

110311211322 is a wasteful number, since it uses less digits than its factorization.

110311211322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471415454 (or 471415451 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 110311211322 its reverse (223112113011), we get a palindrome (333423324333).

The spelling of 110311211322 in words is "one hundred ten billion, three hundred eleven million, two hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 471415433 942830866 1414246299 2828492598 4242738897 6128400629 8485477794 12256801258 18385201887 36770403774 55155605661 110311211322