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1332220332330 = 233531159166109
BaseRepresentation
bin10011011000101110100…
…001010000100100101010
311201100200201120220222000
4103120232201100210222
5133311341401113310
62500002533111430
7165151442661336
oct23305641204452
94640621526860
101332220332330
11473a9a712818
12196239a88576
139882148c644
14486a08447c6
15249c29354c0
hex1362e85092a

1332220332330 has 64 divisors (see below), whose sum is σ = 3667187174400. Its totient is φ = 343798793280.

The previous prime is 1332220332307. The next prime is 1332220332337. The reversal of 1332220332330 is 332330222331.

1332220332330 is a `hidden beast` number, since 1 + 3 + 322 + 2 + 0 + 3 + 3 + 2 + 330 = 666.

It is a super-2 number, since 2×13322203323302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1332220332294 and 1332220332303.

It is not an unprimeable number, because it can be changed into a prime (1332220332337) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 79574685 + ... + 79591424.

It is an arithmetic number, because the mean of its divisors is an integer number (57299799600).

Almost surely, 21332220332330 is an apocalyptic number.

1332220332330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1332220332330 is an abundant number, since it is smaller than the sum of its proper divisors (2334966842070).

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

1332220332330 is a wasteful number, since it uses less digits than its factorization.

1332220332330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159166156 (or 159166150 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 1332220332330 its reverse (332330222331), we get a palindrome (1664550554661).

The spelling of 1332220332330 in words is "one trillion, three hundred thirty-two billion, two hundred twenty million, three hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 159166109 318332218 477498327 795830545 954996654 1432494981 1591661090 2387491635 2864989962 4297484943 4774983270 4934149379 7162474905 8594969886 9868298758 14324949810 14802448137 21487424715 24670746895 29604896274 42974849430 44407344411 49341493790 74012240685 88814688822 133222033233 148024481370 222036722055 266444066466 444073444110 666110166165 1332220332330