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112000342212 = 2232113753233619
BaseRepresentation
bin110100001001110111…
…1011001100011000100
3101201002111101220000200
41220103233121203010
53313334041422322
6123241404010500
711043321125643
oct1502357314304
9351074356020
10112000342212
11435543008a0
1219858830a30
13a73ba63c55
1455c6b2b35a
152da7a268ac
hex1a13bd98c4

112000342212 has 288 divisors, whose sum is σ = 325092942720. Its totient is φ = 32207984640.

The previous prime is 112000342211. The next prime is 112000342213. The reversal of 112000342212 is 212243000211.

It is a happy number.

112000342212 is a `hidden beast` number, since 112 + 0 + 0 + 0 + 342 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (112000342211) and next prime (112000342213).

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 (112000342211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180937239 + ... + 180937857.

It is an arithmetic number, because the mean of its divisors is an integer number (1128794940).

Almost surely, 2112000342212 is an apocalyptic number.

112000342212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112000342212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162546471360).

112000342212 is an abundant number, since it is smaller than the sum of its proper divisors (213092600508).

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

112000342212 is a wasteful number, since it uses less digits than its factorization.

112000342212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 112000342212 its reverse (212243000211), we get a palindrome (324243342423).

The spelling of 112000342212 in words is "one hundred twelve billion, three hundred forty-two thousand, two hundred twelve".