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1023300000330 = 235318291327289
BaseRepresentation
bin11101110010000010110…
…11101101101001001010
310121211022112111002011020
432321001123231221022
5113231204300002310
62102033022213310
7133634220326106
oct16710133555112
93554275432136
101023300000330
11364a8519a013
121463a5124236
137565c55599a
1437756b08906
151b942085170
hexee416eda4a

1023300000330 has 64 divisors (see below), whose sum is σ = 2538203212800. Its totient is φ = 263758671360.

The previous prime is 1023300000323. The next prime is 1023300000347. The reversal of 1023300000330 is 330000033201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107326 + ... + 1434614.

It is an arithmetic number, because the mean of its divisors is an integer number (39659425200).

Almost surely, 21023300000330 is an apocalyptic number.

1023300000330 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 1023300000330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269101606400).

1023300000330 is an abundant number, since it is smaller than the sum of its proper divisors (1514903212470).

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

1023300000330 is a wasteful number, since it uses less digits than its factorization.

1023300000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328159.

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 1023300000330 its reverse (330000033201), we get a palindrome (1353300033531).

The spelling of 1023300000330 in words is "one trillion, twenty-three billion, three hundred million, three hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 829 930 1658 2487 4145 4974 8290 12435 24870 25699 51398 77097 128495 154194 256990 385485 770970 1327289 2654578 3981867 6636445 7963734 13272890 19909335 39818670 41145959 82291918 123437877 205729795 246875754 411459590 617189385 1100322581 1234378770 2200645162 3300967743 5501612905 6601935486 11003225810 16504838715 33009677430 34110000011 68220000022 102330000033 170550000055 204660000066 341100000110 511650000165 1023300000330