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1332401403300 = 22352111972049533
BaseRepresentation
bin10011011000111001010…
…011111111010110100100
311201101011100022021122020
4103120321103333112210
5133312224224401200
62500032522103140
7165156102030132
oct23307123772644
94641140267566
101332401403300
11474082947050
1219628a64aab0
139884cb49b26
14486ba8da752
15249d37a0ea0
hex136394ff5a4

1332401403300 has 144 divisors (see below), whose sum is σ = 4226893336512. Its totient is φ = 321366617600.

The previous prime is 1332401403283. The next prime is 1332401403301. The reversal of 1332401403300 is 33041042331.

It is not an unprimeable number, because it can be changed into a prime (1332401403301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374667 + ... + 1674866.

It is an arithmetic number, because the mean of its divisors is an integer number (29353425948).

Almost surely, 21332401403300 is an apocalyptic number.

1332401403300 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 1332401403300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113446668256).

1332401403300 is an abundant number, since it is smaller than the sum of its proper divisors (2894491933212).

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

1332401403300 is a wasteful number, since it uses less digits than its factorization.

1332401403300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049758 (or 2049751 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1332401403300 its reverse (33041042331), we get a palindrome (1365442445631).

The spelling of 1332401403300 in words is "one trillion, three hundred thirty-two billion, four hundred one million, four hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 197 220 275 300 330 394 550 591 660 788 825 985 1100 1182 1650 1970 2167 2364 2955 3300 3940 4334 4925 5910 6501 8668 9850 10835 11820 13002 14775 19700 21670 26004 29550 32505 43340 54175 59100 65010 108350 130020 162525 216700 325050 650100 2049533 4099066 6148599 8198132 10247665 12297198 20495330 22544863 24594396 30742995 40990660 45089726 51238325 61485990 67634589 90179452 102476650 112724315 122971980 135269178 153714975 204953300 225448630 270538356 307429950 338172945 403758001 450897260 563621575 614859900 676345890 807516002 1127243150 1211274003 1352691780 1615032004 1690864725 2018790005 2254486300 2422548006 3381729450 4037580010 4441338011 4845096012 6056370015 6763458900 8075160020 8882676022 10093950025 12112740030 13324014033 17765352044 20187900050 22206690055 24225480060 26648028066 30281850075 40375800100 44413380110 53296056132 60563700150 66620070165 88826760220 111033450275 121127400300 133240140330 222066900550 266480280660 333100350825 444133801100 666200701650 1332401403300