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1323141233204 = 227471549649081
BaseRepresentation
bin10011010000010001010…
…111001111101000110100
311200111020222122220100102
4103100101113033220310
5133134243123430304
62451502004333232
7164410446625520
oct23202127175064
94614228586312
101323141233204
1147016080620a
121945253a4218
1397a0550603b
144807cb1cd80
1524640831d1e
hex134115cfa34

1323141233204 has 48 divisors (see below), whose sum is σ = 2704335244800. Its totient is φ = 554636263680.

The previous prime is 1323141233147. The next prime is 1323141233209. The reversal of 1323141233204 is 4023321413231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323141233209) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1713944 + ... + 2363024.

It is an arithmetic number, because the mean of its divisors is an integer number (56340317600).

Almost surely, 21323141233204 is an apocalyptic number.

1323141233204 is a gapful number since it is divisible by the number (14) 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 1323141233204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352167622400).

1323141233204 is an abundant number, since it is smaller than the sum of its proper divisors (1381194011596).

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

1323141233204 is a wasteful number, since it uses less digits than its factorization.

1323141233204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650688 (or 650686 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 1323141233204 its reverse (4023321413231), we get a palindrome (5346462646435).

The spelling of 1323141233204 in words is "one trillion, three hundred twenty-three billion, one hundred forty-one million, two hundred thirty-three thousand, two hundred four".

Divisors: 1 2 4 7 14 28 47 94 188 329 658 1316 1549 3098 6196 10843 21686 43372 72803 145606 291212 509621 649081 1019242 1298162 2038484 2596324 4543567 9087134 18174268 30506807 61013614 122027228 213547649 427095298 854190596 1005426469 2010852938 4021705876 7037985283 14075970566 28151941132 47255044043 94510088086 189020176172 330785308301 661570616602 1323141233204