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1330331203300 = 22521123107491423
BaseRepresentation
bin10011010110111101111…
…010110011011011100100
311201011211001212020010011
4103112331322303123210
5133244004242001200
62455051250340004
7165053563436461
oct23267572633344
94634731766104
101330331203300
11473210312160
121959b128a604
13985acc93c08
14485619aa668
1524911b735ba
hex135bdeb36e4

1330331203300 has 144 divisors (see below), whose sum is σ = 3316899704832. Its totient is φ = 458398441600.

The previous prime is 1330331203261. The next prime is 1330331203303. The reversal of 1330331203300 is 33021330331.

It is a super-2 number, since 2×13303312033002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1330331203303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2461389 + ... + 2952811.

It is an arithmetic number, because the mean of its divisors is an integer number (23034025728).

Almost surely, 21330331203300 is an apocalyptic number.

1330331203300 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 1330331203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658449852416).

1330331203300 is an abundant number, since it is smaller than the sum of its proper divisors (1986568501532).

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

1330331203300 is a wasteful number, since it uses less digits than its factorization.

1330331203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491578 (or 491571 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 1330331203300 its reverse (33021330331), we get a palindrome (1363352533631).

The spelling of 1330331203300 in words is "one trillion, three hundred thirty billion, three hundred thirty-one million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 107 110 115 214 220 230 253 275 428 460 506 535 550 575 1012 1070 1100 1150 1177 1265 2140 2300 2354 2461 2530 2675 4708 4922 5060 5350 5885 6325 9844 10700 11770 12305 12650 23540 24610 25300 27071 29425 49220 54142 58850 61525 108284 117700 123050 135355 246100 270710 491423 541420 676775 982846 1353550 1965692 2457115 2707100 4914230 5405653 9828460 10811306 11302729 12285575 21622612 22605458 24571150 27028265 45210916 49142300 52582261 54056530 56513645 105164522 108113060 113027290 124330019 135141325 210329044 226054580 248660038 262911305 270282650 282568225 497320076 525822610 540565300 565136450 578404871 621650095 1051645220 1130272900 1156809742 1209392003 1243300190 1314556525 2313619484 2418784006 2486600380 2629113050 2892024355 3108250475 4837568012 5258226100 5784048710 6046960015 6216500950 11568097420 12093920030 12433001900 13303312033 14460121775 24187840060 26606624066 28920243550 30234800075 53213248132 57840487100 60469600150 66516560165 120939200300 133033120330 266066240660 332582800825 665165601650 1330331203300