Search a number
-
+
12202230313000 = 2353713745917977
BaseRepresentation
bin1011000110010000110110…
…0110100111000000101000
31121012112002102002102120001
42301210031212213000220
53044410131430004000
641541343251312344
72366403433216540
oct261441546470050
947175072072501
1012202230313000
113984a3399a192
121450a5a2ab6b4
136a6885ac49a0
1430283bd8c320
1516261c09d46a
hexb190d9a7028

12202230313000 has 256 divisors, whose sum is σ = 35149089830400. Its totient is φ = 3861072230400.

The previous prime is 12202230312947. The next prime is 12202230313027. The reversal of 12202230313000 is 31303220221.

It is a super-2 number, since 2×122022303130002 (a number of 27 digits) contains 22 as substring.

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, 678760012 + ... + 678777988.

It is an arithmetic number, because the mean of its divisors is an integer number (137301132150).

Almost surely, 212202230313000 is an apocalyptic number.

12202230313000 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 12202230313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17574544915200).

12202230313000 is an abundant number, since it is smaller than the sum of its proper divisors (22946859517400).

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

12202230313000 is a wasteful number, since it uses less digits than its factorization.

12202230313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25477 (or 25463 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12202230313000 its reverse (31303220221), we get a palindrome (12233533533221).

The spelling of 12202230313000 in words is "twelve trillion, two hundred two billion, two hundred thirty million, three hundred thirteen thousand".