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1321132120 = 2357211292113
BaseRepresentation
bin100111010111110…
…1110000001011000
310102001221110120021
41032233232001120
510201202211440
6335032240224
744511303100
oct11657560130
93361843507
101321132120
11618821130
1230a540074
131809267a9
14c7662200
157aeb684a
hex4ebee058

1321132120 has 192 divisors, whose sum is σ = 3904135200. Its totient is φ = 397393920.

The previous prime is 1321132117. The next prime is 1321132151. The reversal of 1321132120 is 212311231.

It is a super-4 number, since 4×13211321204 (a number of 38 digits) contains 4444 as substring.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1321132094 and 1321132103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624184 + ... + 626296.

Almost surely, 21321132120 is an apocalyptic number.

1321132120 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 1321132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952067600).

1321132120 is an abundant number, since it is smaller than the sum of its proper divisors (2583003080).

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

1321132120 is a wasteful number, since it uses less digits than its factorization.

1321132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1321132120 is about 36347.3811986503. The cubic root of 1321132120 is about 1097.2748299221.

Adding to 1321132120 its reverse (212311231), we get a palindrome (1533443351).

The spelling of 1321132120 in words is "one billion, three hundred twenty-one million, one hundred thirty-two thousand, one hundred twenty".