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2220132102000 = 243531721979853
BaseRepresentation
bin100000010011101010001…
…011110110111101110000
321212020112211020021120220
4200103222023312331300
5242333312304231000
64415525315533040
7316253641333011
oct40235213667560
97766484207526
102220132102000
1178660976920a
122ba3398ba180
13131485731627
1479652603008
153cb3dab41a0
hex204ea2f6f70

2220132102000 has 960 divisors, whose sum is σ = 8114513971200. Its totient is φ = 520589721600.

The previous prime is 2220132101989. The next prime is 2220132102037. The reversal of 2220132102000 is 2012310222.

It is a happy number.

2220132102000 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2602733574 + ... + 2602734426.

It is an arithmetic number, because the mean of its divisors is an integer number (8452618720).

Almost surely, 22220132102000 is an apocalyptic number.

2220132102000 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 2220132102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057256985600).

2220132102000 is an abundant number, since it is smaller than the sum of its proper divisors (5894381869200).

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

2220132102000 is a wasteful number, since it uses less digits than its factorization.

2220132102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2220132102000 its reverse (2012310222), we get a palindrome (2222144412222).

The spelling of 2220132102000 in words is "two trillion, two hundred twenty billion, one hundred thirty-two million, one hundred two thousand".