Search a number
-
+
10030010322000 = 243534364160649
BaseRepresentation
bin1001000111110100101100…
…1100111100110001010000
31022111212012122221120022210
42101331023030330301100
52303312430120301000
633155420110232120
72053434002023404
oct221751314746120
938455178846283
1010030010322000
113217781388129
12115ba721b5640
13579a976c58c6
14269652aa3104
15125d8490a350
hex91f4b33cc50

10030010322000 has 320 divisors, whose sum is σ = 33140937772800. Its totient is φ = 2608349184000.

The previous prime is 10030010321927. The next prime is 10030010322023. The reversal of 10030010322000 is 22301003001.

It is a happy number.

It is a super-2 number, since 2×100300103220002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 165347676 + ... + 165408324.

It is an arithmetic number, because the mean of its divisors is an integer number (103565430540).

Almost surely, 210030010322000 is an apocalyptic number.

10030010322000 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 10030010322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16570468886400).

10030010322000 is an abundant number, since it is smaller than the sum of its proper divisors (23110927450800).

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

10030010322000 is a wasteful number, since it uses less digits than its factorization.

10030010322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61359 (or 61343 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10030010322000 its reverse (22301003001), we get a palindrome (10052311325001).

The spelling of 10030010322000 in words is "ten trillion, thirty billion, ten million, three hundred twenty-two thousand".