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213203301120 = 28355685453
BaseRepresentation
bin1100011010001111101…
…0000011001100000000
3202101022111121212200000
43012203322003030000
511443120021113440
6241535542400000
721255243105165
oct3064372031400
9671274555600
10213203301120
1182467783807
12353a1430000
13171498628a4
14a46784c06c
15582c683730
hex31a3e83300

213203301120 has 216 divisors, whose sum is σ = 764983114896. Its totient is φ = 56854130688.

The previous prime is 213203301119. The next prime is 213203301127. The reversal of 213203301120 is 21103302312.

213203301120 is a `hidden beast` number, since 2 + 1 + 320 + 330 + 1 + 12 + 0 = 666.

213203301120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

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 = 213203301093 and 213203301102.

It is not an unprimeable number, because it can be changed into a prime (213203301127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31687 + ... + 653766.

Almost surely, 2213203301120 is an apocalyptic number.

213203301120 is a gapful number since it is divisible by the number (20) 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 213203301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382491557448).

213203301120 is an abundant number, since it is smaller than the sum of its proper divisors (551779813776).

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

213203301120 is an frugal number, since it uses more digits than its factorization.

213203301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685489 (or 685463 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213203301120 its reverse (21103302312), we get a palindrome (234306603432).

The spelling of 213203301120 in words is "two hundred thirteen billion, two hundred three million, three hundred one thousand, one hundred twenty".