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300223331133030 = 232519175569199493
BaseRepresentation
bin100010001000011010011000…
…1000000010110011001100110
31110101000001220010212122001200
41010100310301000112121212
5303322324340232224110
62542304405545303330
7120144264010001064
oct10420646100263146
91411001803778050
10300223331133030
1187729aaa689248
1229809362194b46
13cb69c28291846
14541cc5b3a1034
1524a97702016c0
hex1110d31016666

300223331133030 has 48 divisors (see below), whose sum is σ = 821663853631920. Its totient is φ = 75845894180544.

The previous prime is 300223331133001. The next prime is 300223331133041. The reversal of 300223331133030 is 30331133322003.

300223331133030 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 23 + 331 + 1 + 3 + 303 + 0 = 666.

It is a super-2 number, since 2×3002233311330302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300223331132985 and 300223331133003.

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, 87784598037 + ... + 87784601456.

It is an arithmetic number, because the mean of its divisors is an integer number (17117996950665).

Almost surely, 2300223331133030 is an apocalyptic number.

300223331133030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

300223331133030 is an abundant number, since it is smaller than the sum of its proper divisors (521440522498890).

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

300223331133030 is a wasteful number, since it uses less digits than its factorization.

300223331133030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175569199525 (or 175569199522 counting only the distinct ones).

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

Adding to 300223331133030 its reverse (30331133322003), we get a palindrome (330554464455033).

The spelling of 300223331133030 in words is "three hundred trillion, two hundred twenty-three billion, three hundred thirty-one million, one hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 175569199493 351138398986 526707598479 877845997465 1053415196958 1580122795437 1755691994930 2633537992395 3160245590874 3335814790367 5267075984790 6671629580734 7900613977185 10007444371101 15801227954370 16679073951835 20014888742202 30022333113303 33358147903670 50037221855505 60044666226606 100074443711010 150111665566515 300223331133030