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331323321300030 = 23257434954737869
BaseRepresentation
bin100101101010101100011100…
…0110111110011010000111110
31121110010012101221010120221100
41023111120320313303100332
5321411400130223100110
63132355455455313530
7126534214524502233
oct11325307067632076
91543105357116840
10331323321300030
119662a482324644
12311b0819b1b8a6
13112b48694454c7
145bb61c47b578a
15284872eb87bc0
hex12d5638df343e

331323321300030 has 48 divisors (see below), whose sum is σ = 862600044215520. Its totient is φ = 88233971953344.

The previous prime is 331323321300017. The next prime is 331323321300053. The reversal of 331323321300030 is 30003123323133.

331323321300030 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 2 + 3 + 321 + 300 + 0 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 331323321299967 and 331323321300003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2477302065 + ... + 2477435804.

It is an arithmetic number, because the mean of its divisors is an integer number (17970834254490).

Almost surely, 2331323321300030 is an apocalyptic number.

331323321300030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331323321300030 is an abundant number, since it is smaller than the sum of its proper divisors (531276722915490).

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

331323321300030 is a wasteful number, since it uses less digits than its factorization.

331323321300030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954738625 (or 4954738622 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 331323321300030 its reverse (30003123323133), we get a palindrome (361326444623163).

The spelling of 331323321300030 in words is "three hundred thirty-one trillion, three hundred twenty-three billion, three hundred twenty-one million, three hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 743 1486 2229 3715 4458 6687 7430 11145 13374 22290 33435 66870 4954737869 9909475738 14864213607 24773689345 29728427214 44592640821 49547378690 74321068035 89185281642 148642136070 222963204105 445926408210 3681370236667 7362740473334 11044110710001 18406851183335 22088221420002 33132332130003 36813702366670 55220553550005 66264664260006 110441107100010 165661660650015 331323321300030