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112020210000 = 2432545212389
BaseRepresentation
bin110100001010011101…
…1001100000101010000
3101201010212210021111200
41220110323030011100
53313404133210000
6123243353511200
711043652034346
oct1502473140520
9351125707450
10112020210000
1143564540856
1219863412500
13a742bcc13a
1455c961d996
152da964d500
hex1a14ecc150

112020210000 has 300 divisors, whose sum is σ = 392667071940. Its totient is φ = 29802240000.

The previous prime is 112020209947. The next prime is 112020210047. The reversal of 112020210000 is 12020211.

It can be written as a sum of positive squares in 10 ways, for example, as 105310634256 + 6709575744 = 324516^2 + 81912^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46888806 + ... + 46891194.

Almost surely, 2112020210000 is an apocalyptic number.

112020210000 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 112020210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196333535970).

112020210000 is an abundant number, since it is smaller than the sum of its proper divisors (280646861940).

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

112020210000 is a wasteful number, since it uses less digits than its factorization.

112020210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 112020210000 its reverse (12020211), we get a palindrome (112032230211).

The spelling of 112020210000 in words is "one hundred twelve billion, twenty million, two hundred ten thousand".