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12303220331100 = 22352184722203971
BaseRepresentation
bin1011001100001001000100…
…0100111101001001011100
31121120011202120121220022210
42303002101010331021130
53103033443401043400
642100004342040420
72406610161213306
oct263022104751134
947504676556283
1012303220331100
113a13848150566
121468543719110
136b325b75804a
1430769c6bc976
1516507d196950
hexb309113d25c

12303220331100 has 72 divisors (see below), whose sum is σ = 35616592142208. Its totient is φ = 3279082289600.

The previous prime is 12303220331069. The next prime is 12303220331113. The reversal of 12303220331100 is 113302230321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10547886 + ... + 11656085.

It is an arithmetic number, because the mean of its divisors is an integer number (494674890864).

Almost surely, 212303220331100 is an apocalyptic number.

12303220331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12303220331100 is an abundant number, since it is smaller than the sum of its proper divisors (23313371811108).

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

12303220331100 is a wasteful number, since it uses less digits than its factorization.

12303220331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22205835 (or 22205828 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12303220331100 its reverse (113302230321), we get a palindrome (12416522561421).

The spelling of 12303220331100 in words is "twelve trillion, three hundred three billion, two hundred twenty million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1847 3694 5541 7388 9235 11082 18470 22164 27705 36940 46175 55410 92350 110820 138525 184700 277050 554100 22203971 44407942 66611913 88815884 111019855 133223826 222039710 266447652 333059565 444079420 555099275 666119130 1110198550 1332238260 1665297825 2220397100 3330595650 6661191300 41010734437 82021468874 123032203311 164042937748 205053672185 246064406622 410107344370 492128813244 615161016555 820214688740 1025268360925 1230322033110 2050536721850 2460644066220 3075805082775 4101073443700 6151610165550 12303220331100