Search a number
-
+
10000331022330 = 232511293311052333
BaseRepresentation
bin1001000110000110001000…
…1011011001111111111010
31022102000121021002221002200
42101201202023121333322
52302321134220203310
633134031052011030
72051333345111055
oct221414213317772
938360537087080
1010000331022330
113206131176aa0
12115616a760a76
135770478c871c
14268039099a9c
151251e902d9c0
hex918622d9ffa

10000331022330 has 192 divisors, whose sum is σ = 29431340565120. Its totient is φ = 2333651443200.

The previous prime is 10000331022271. The next prime is 10000331022337. The reversal of 10000331022330 is 3322013300001.

10000331022330 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 3 + 310 + 22 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10000331022337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8976844 + ... + 10029176.

It is an arithmetic number, because the mean of its divisors is an integer number (153288232110).

Almost surely, 210000331022330 is an apocalyptic number.

10000331022330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000331022330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14715670282560).

10000331022330 is an abundant number, since it is smaller than the sum of its proper divisors (19431009542790).

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

10000331022330 is a wasteful number, since it uses less digits than its factorization.

10000331022330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052717 (or 1052714 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10000331022330 its reverse (3322013300001), we get a palindrome (13322344322331).

The spelling of 10000331022330 in words is "ten trillion, three hundred thirty-one million, twenty-two thousand, three hundred thirty".