Search a number
-
+
2211131103132 = 2237293974575003
BaseRepresentation
bin100000001011010001101…
…011110001011110011100
321211101022112021011101110
4200023101223301132130
5242211344030300012
64411440221142020
7315514614161550
oct40132153613634
97741275234343
102211131103132
1178280a955576
122b86473ba910
1313067c9c17b3
147903b00b860
153c7b378b73c
hex202d1af179c

2211131103132 has 192 divisors, whose sum is σ = 6129642193920. Its totient is φ = 606978054144.

The previous prime is 2211131103113. The next prime is 2211131103163. The reversal of 2211131103132 is 2313011311122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2211131103099 and 2211131103108.

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, 441958543 + ... + 441963545.

It is an arithmetic number, because the mean of its divisors is an integer number (31925219760).

Almost surely, 22211131103132 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 2211131103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064821096960).

2211131103132 is an abundant number, since it is smaller than the sum of its proper divisors (3918511090788).

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

2211131103132 is a wasteful number, since it uses less digits than its factorization.

2211131103132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 2211131103132 its reverse (2313011311122), we get a palindrome (4524142414254).

The spelling of 2211131103132 in words is "two trillion, two hundred eleven billion, one hundred thirty-one million, one hundred three thousand, one hundred thirty-two".