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1323001020 = 22351189101223
BaseRepresentation
bin100111011011011…
…0110010010111100
310102012110102012210
41032312312102330
510202142013040
6335140300420
744533215555
oct11666662274
93365412183
101323001020
11619888280
1230b0a1710
1318112c353
14c79cb32c
157b235480
hex4edb64bc

1323001020 has 192 divisors, whose sum is σ = 4145541120. Its totient is φ = 312576000.

The previous prime is 1323000953. The next prime is 1323001033. The reversal of 1323001020 is 201003231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1323000987 and 1323001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5932629 + ... + 5932851.

It is an arithmetic number, because the mean of its divisors is an integer number (21591360).

Almost surely, 21323001020 is an apocalyptic number.

1323001020 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 1323001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072770560).

1323001020 is an abundant number, since it is smaller than the sum of its proper divisors (2822540100).

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

1323001020 is a wasteful number, since it uses less digits than its factorization.

1323001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1323001020 is about 36373.0809803074. The cubic root of 1323001020 is about 1097.7919951302.

Adding to 1323001020 its reverse (201003231), we get a palindrome (1524004251).

The spelling of 1323001020 in words is "one billion, three hundred twenty-three million, one thousand, twenty".