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1332301002120 = 2334511251148933
BaseRepresentation
bin10011011000110011010…
…100111111010110001000
311201100220100101101010000
4103120303110333112020
5133312023024031440
62500014534123000
7165153442444254
oct23306324772610
94640810341100
101332301002120
11474031201170
12196260ab0460
13988350c584a
14486ab443264
15249c9a6c730
hex1363353f588

1332301002120 has 320 divisors, whose sum is σ = 4904599170240. Its totient is φ = 321693120000.

The previous prime is 1332301002083. The next prime is 1332301002127. The reversal of 1332301002120 is 212001032331.

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

It is a junction number, because it is equal to n+sod(n) for n = 1332301002093 and 1332301002102.

It is not an unprimeable number, because it can be changed into a prime (1332301002127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8871174 + ... + 9020106.

It is an arithmetic number, because the mean of its divisors is an integer number (15326872407).

Almost surely, 21332301002120 is an apocalyptic number.

1332301002120 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 1332301002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452299585120).

1332301002120 is an abundant number, since it is smaller than the sum of its proper divisors (3572298168120).

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

1332301002120 is a wasteful number, since it uses less digits than its factorization.

1332301002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149218 (or 149205 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1332301002120 its reverse (212001032331), we get a palindrome (1544302034451).

The spelling of 1332301002120 in words is "one trillion, three hundred thirty-two billion, three hundred one million, two thousand, one hundred twenty".