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1323201311010 = 23258310313712553
BaseRepresentation
bin10011010000010100111…
…100011011000100100010
311200111102011201011121100
4103100110330123010202
5133134404013423020
62451511552135230
7164412106365465
oct23202474330442
94614364634540
101323201311010
1147019170a597
12194541537516
1397a14aac537
1448086abb2dc
1524645c4ca90
hex13414f1b122

1323201311010 has 192 divisors, whose sum is σ = 3541519957248. Its totient is φ = 342670804992.

The previous prime is 1323201310999. The next prime is 1323201311017. The reversal of 1323201311010 is 101131023231.

1323201311010 is a `hidden beast` number, since 1 + 32 + 320 + 1 + 311 + 0 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1323201311017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105402894 + ... + 105415446.

It is an arithmetic number, because the mean of its divisors is an integer number (18445416444).

Almost surely, 21323201311010 is an apocalyptic number.

1323201311010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323201311010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770759978624).

1323201311010 is an abundant number, since it is smaller than the sum of its proper divisors (2218318646238).

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

1323201311010 is a wasteful number, since it uses less digits than its factorization.

1323201311010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889 (or 12886 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1323201311010 its reverse (101131023231), we get a palindrome (1424332334241).

The spelling of 1323201311010 in words is "one trillion, three hundred twenty-three billion, two hundred one million, three hundred eleven thousand, ten".