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801212212108 = 2271117614795237
BaseRepresentation
bin10111010100010111111…
…10000010001110001100
32211121001212010111101101
423222023332002032030
5101111340311241413
61412023302152444
7111612533302060
oct13521376021614
92747055114341
10801212212108
11289879451690
1210b344422724
135a728158549
142aac9353aa0
1515c94940edd
hexba8bf8238c

801212212108 has 192 divisors, whose sum is σ = 1885559316480. Its totient is φ = 288323481600.

The previous prime is 801212212103. The next prime is 801212212153.

801212212108 is nontrivially palindromic in base 10.

801212212108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (801212212103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152988066 + ... + 152993302.

It is an arithmetic number, because the mean of its divisors is an integer number (9820621440).

Almost surely, 2801212212108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801212212108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942779658240).

801212212108 is an abundant number, since it is smaller than the sum of its proper divisors (1084347104372).

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

801212212108 is a wasteful number, since it uses less digits than its factorization.

801212212108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5816 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The spelling of 801212212108 in words is "eight hundred one billion, two hundred twelve million, two hundred twelve thousand, one hundred eight".