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212103331020 = 2232573715113011
BaseRepresentation
bin1100010110001001010…
…1111111110011001100
3202021110211211121100200
43011202111333303030
511433341423043040
6241234450253500
721216055365240
oct3054225776314
9667424747320
10212103331020
1181a52889a09
1235134b87290
13170029c26c9
14a3a171a420
1557b5d06630
hex316257fccc

212103331020 has 288 divisors, whose sum is σ = 755915037696. Its totient is φ = 47123596800.

The previous prime is 212103331019. The next prime is 212103331051. The reversal of 212103331020 is 20133301212.

212103331020 is a `hidden beast` number, since 21 + 210 + 333 + 102 + 0 = 666.

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 = 212103330984 and 212103331002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70441315 + ... + 70444325.

It is an arithmetic number, because the mean of its divisors is an integer number (2624704992).

Almost surely, 2212103331020 is an apocalyptic number.

212103331020 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 212103331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377957518848).

212103331020 is an abundant number, since it is smaller than the sum of its proper divisors (543811706676).

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

212103331020 is a wasteful number, since it uses less digits than its factorization.

212103331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4581 (or 4576 counting only the distinct ones).

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

Adding to 212103331020 its reverse (20133301212), we get a palindrome (232236632232).

The spelling of 212103331020 in words is "two hundred twelve billion, one hundred three million, three hundred thirty-one thousand, twenty".