Search a number
-
+
11023303002300 = 22325253409156489
BaseRepresentation
bin1010000001101001000000…
…0011110100100010111100
31110000211001221100211220200
42200122100003310202330
52421101211032033200
635240011355443500
72215256503345461
oct240322003644274
943024057324820
1011023303002300
11356aa581934a6
1212a0481a56590
1361c6541c2704
142a17603b9668
15141b1c3bc800
hexa06900f48bc

11023303002300 has 216 divisors, whose sum is σ = 35213082624720. Its totient is φ = 2883328281600.

The previous prime is 11023303002269. The next prime is 11023303002319. The reversal of 11023303002300 is 320030332011.

11023303002300 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 330 + 30 + 0 + 2 + 300 = 666.

It is a super-4 number, since 4×110233030023004 (a number of 53 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 195112456 + ... + 195168944.

It is an arithmetic number, because the mean of its divisors is an integer number (163023530670).

Almost surely, 211023303002300 is an apocalyptic number.

11023303002300 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 11023303002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606541312360).

11023303002300 is an abundant number, since it is smaller than the sum of its proper divisors (24189779622420).

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

11023303002300 is a wasteful number, since it uses less digits than its factorization.

11023303002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60653 (or 60643 counting only the distinct ones).

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

Adding to 11023303002300 its reverse (320030332011), we get a palindrome (11343333334311).

The spelling of 11023303002300 in words is "eleven trillion, twenty-three billion, three hundred three million, two thousand, three hundred".