Search a number
-
+
2212121011100 = 22527111337958309
BaseRepresentation
bin100000001100001100101…
…011111110001110011100
321211110212111221200211112
4200030030223332032130
5242220410434323400
64412122342241152
7315551264230610
oct40141453761634
97743774850745
102212121011100
11783178706030
122b8882a261b8
131307a9b07260
14790d268d340
153c820627835
hex2030cafe39c

2212121011100 has 288 divisors, whose sum is σ = 6462278054400. Its totient is φ = 634764211200.

The previous prime is 2212121011013. The next prime is 2212121011117. The reversal of 2212121011100 is 11101212122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 37908746 + ... + 37967054.

Almost surely, 22212121011100 is an apocalyptic number.

2212121011100 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 2212121011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231139027200).

2212121011100 is an abundant number, since it is smaller than the sum of its proper divisors (4250157043300).

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

2212121011100 is a wasteful number, since it uses less digits than its factorization.

2212121011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58733 (or 58726 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2212121011100 its reverse (11101212122), we get a palindrome (2223222223222).

The spelling of 2212121011100 in words is "two trillion, two hundred twelve billion, one hundred twenty-one million, eleven thousand, one hundred".