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1323100132320 = 253553318716319
BaseRepresentation
bin10011010000001110111…
…010011101001111100000
311200111011010022202112110
4103100032322131033200
5133134202113213240
62451453535355320
7164406440364051
oct23201672351740
94614133282473
101323100132320
1147013a59353a
12194513682b40
13979c9b453a5
14480774a0728
152463be13c80
hex1340ee9d3e0

1323100132320 has 192 divisors, whose sum is σ = 4247995207680. Its totient is φ = 346039769088.

The previous prime is 1323100132313. The next prime is 1323100132379. The reversal of 1323100132320 is 232310013231.

It is a super-3 number, since 3×13231001323203 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81069121 + ... + 81085439.

It is an arithmetic number, because the mean of its divisors is an integer number (22124975040).

Almost surely, 21323100132320 is an apocalyptic number.

1323100132320 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 1323100132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123997603840).

1323100132320 is an abundant number, since it is smaller than the sum of its proper divisors (2924895075360).

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

1323100132320 is a wasteful number, since it uses less digits than its factorization.

1323100132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19577 (or 19569 counting only the distinct ones).

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

Adding to 1323100132320 its reverse (232310013231), we get a palindrome (1555410145551).

The spelling of 1323100132320 in words is "one trillion, three hundred twenty-three billion, one hundred million, one hundred thirty-two thousand, three hundred twenty".