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112012102020 = 2235713113181549
BaseRepresentation
bin110100001010001110…
…0010000100110000100
3101201010022112100110010
41220110130100212010
53313400044231040
6123242504030220
711043523105050
oct1502434204604
9351108470403
10112012102020
114355aa03145
1219860762370
13a741320810
1455c850cc60
152da8a9ae80
hex1a14710984

112012102020 has 192 divisors, whose sum is σ = 389429107200. Its totient is φ = 23424049152.

The previous prime is 112012102019. The next prime is 112012102021. The reversal of 112012102020 is 20201210211.

It is an interprime number because it is at equal distance from previous prime (112012102019) and next prime (112012102021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112012101987 and 112012102005.

It is not an unprimeable number, because it can be changed into a prime (112012102021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 526206 + ... + 707754.

It is an arithmetic number, because the mean of its divisors is an integer number (2028276600).

Almost surely, 2112012102020 is an apocalyptic number.

112012102020 is a gapful number since it is divisible by the number (10) 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 112012102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194714553600).

112012102020 is an abundant number, since it is smaller than the sum of its proper divisors (277417005180).

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

112012102020 is a wasteful number, since it uses less digits than its factorization.

112012102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181694 (or 181692 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112012102020 its reverse (20201210211), we get a palindrome (132213312231).

The spelling of 112012102020 in words is "one hundred twelve billion, twelve million, one hundred two thousand, twenty".