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1332220011000 = 2335317412712351
BaseRepresentation
bin10011011000101110100…
…000000010000111111000
311201100200200222121011220
4103120232200002013320
5133311341310323000
62500002522152040
7165151440152454
oct23305640020770
94640620877156
101332220011000
11473a9a51335a
12196239952620
13988213a92c8
14486a079d664
15249c28c01a0
hex1362e8021f8

1332220011000 has 512 divisors, whose sum is σ = 4526930903040. Its totient is φ = 324864000000.

The previous prime is 1332220010893. The next prime is 1332220011013. The reversal of 1332220011000 is 1100222331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 566659825 + ... + 566662175.

It is an arithmetic number, because the mean of its divisors is an integer number (8841661920).

Almost surely, 21332220011000 is an apocalyptic number.

1332220011000 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 1332220011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263465451520).

1332220011000 is an abundant number, since it is smaller than the sum of its proper divisors (3194710892040).

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

1332220011000 is a wasteful number, since it uses less digits than its factorization.

1332220011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1332220011000 its reverse (1100222331), we get a palindrome (1333320233331).

The spelling of 1332220011000 in words is "one trillion, three hundred thirty-two billion, two hundred twenty million, eleven thousand".