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112123110312 = 23321557265421
BaseRepresentation
bin110100001101100001…
…1101110001110101000
3101201102001102011012100
41220123003232032220
53314112004012222
6123301511213400
711046341466303
oct1503303561650
9351361364170
10112123110312
1143607633334
1219891977260
13a75b319ab5
1455d9167b3a
152db36c74ac
hex1a1b0ee3a8

112123110312 has 24 divisors (see below), whose sum is σ = 303666757290. Its totient is φ = 37374370080.

The previous prime is 112123110311. The next prime is 112123110349. The reversal of 112123110312 is 213011321211.

112123110312 is a `hidden beast` number, since 1 + 121 + 231 + 1 + 0 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66598060356 + 45525049956 = 258066^2 + 213366^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (112123110311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 778632639 + ... + 778632782.

Almost surely, 2112123110312 is an apocalyptic number.

112123110312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112123110312 is an abundant number, since it is smaller than the sum of its proper divisors (191543646978).

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

112123110312 is a wasteful number, since it uses less digits than its factorization.

112123110312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557265433 (or 1557265426 counting only the distinct ones).

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

Adding to 112123110312 its reverse (213011321211), we get a palindrome (325134431523).

The spelling of 112123110312 in words is "one hundred twelve billion, one hundred twenty-three million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1557265421 3114530842 4671796263 6229061684 9343592526 12458123368 14015388789 18687185052 28030777578 37374370104 56061555156 112123110312