Search a number
-
+
211021020100212 = 2237312332411443151
BaseRepresentation
bin101111111110110000101000…
…111100010111011001110100
31000200011102010201022110112220
4233332300220330113121310
5210124332022121201322
62024445415054442340
762306523411433140
oct5776605074273164
91020142121273486
10211021020100212
116126856a5a3703
121b8013548033b0
13909927351494a
143a17686b42220
15195e21ad1655c
hexbfec28f17674

211021020100212 has 192 divisors, whose sum is σ = 585789112516608. Its totient is φ = 57855306240000.

The previous prime is 211021020100159. The next prime is 211021020100237. The reversal of 211021020100212 is 212001020120112.

It is a junction number, because it is equal to n+sod(n) for n = 211021020100191 and 211021020100200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145500837 + ... + 146943987.

It is an arithmetic number, because the mean of its divisors is an integer number (3050984961024).

Almost surely, 2211021020100212 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 211021020100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292894556258304).

211021020100212 is an abundant number, since it is smaller than the sum of its proper divisors (374768092416396).

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

211021020100212 is a wasteful number, since it uses less digits than its factorization.

211021020100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443670 (or 1443668 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211021020100212 its reverse (212001020120112), we get a palindrome (423022040220324).

The spelling of 211021020100212 in words is "two hundred eleven trillion, twenty-one billion, twenty million, one hundred thousand, two hundred twelve".