Search a number
-
+
1102210010000 = 24541140924499
BaseRepresentation
bin10000000010100000110…
…101100000101110010000
310220100222220120220111222
4100002200311200232100
5121024311230310000
62202203121424212
7142426535334251
oct20024065405620
93810886526458
101102210010000
113954988a8240
12159747a9b068
137cc26902bb8
143b4c0bccb28
151da0e9e8a85
hex100a0d60b90

1102210010000 has 200 divisors, whose sum is σ = 2918393940000. Its totient is φ = 399807360000.

The previous prime is 1102210009991. The next prime is 1102210010029. The reversal of 1102210010000 is 100122011.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×11022100100002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1102210010000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44977751 + ... + 45002249.

It is an arithmetic number, because the mean of its divisors is an integer number (14591969700).

Almost surely, 21102210010000 is an apocalyptic number.

1102210010000 is a gapful number since it is divisible by the number (10) 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 1102210010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459196970000).

1102210010000 is an abundant number, since it is smaller than the sum of its proper divisors (1816183930000).

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

1102210010000 is a wasteful number, since it uses less digits than its factorization.

1102210010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24947 (or 24926 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1102210010000 its reverse (100122011), we get a palindrome (1102310132011).

The spelling of 1102210010000 in words is "one trillion, one hundred two billion, two hundred ten million, ten thousand".