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1320033132 = 2233111958481
BaseRepresentation
bin100111010101110…
…0001101101101100
310101222212122001000
41032223201231230
510200412030012
6334552520300
744466045045
oct11653415554
93358778030
101320033132
11618140480
1230a0b0090
131806304c2
14c74578cc
157ad4addc
hex4eae1b6c

1320033132 has 96 divisors (see below), whose sum is σ = 3929990400. Its totient is φ = 378950400.

The previous prime is 1320033131. The next prime is 1320033139. The reversal of 1320033132 is 2313300231.

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

It is not an unprimeable number, because it can be changed into a prime (1320033131) 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, 6669 + ... + 51812.

It is an arithmetic number, because the mean of its divisors is an integer number (40937400).

Almost surely, 21320033132 is an apocalyptic number.

1320033132 is a gapful number since it is divisible by the number (12) 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 1320033132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964995200).

1320033132 is an abundant number, since it is smaller than the sum of its proper divisors (2609957268).

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

1320033132 is a wasteful number, since it uses less digits than its factorization.

1320033132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58524 (or 58516 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1320033132 is about 36332.2602104521. The cubic root of 1320033132 is about 1096.9704883194.

Adding to 1320033132 its reverse (2313300231), we get a palindrome (3633333363).

The spelling of 1320033132 in words is "one billion, three hundred twenty million, thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 297 342 396 418 513 594 627 684 836 1026 1188 1254 1881 2052 2508 3762 5643 7524 11286 22572 58481 116962 175443 233924 350886 526329 643291 701772 1052658 1111139 1286582 1578987 1929873 2105316 2222278 2573164 3157974 3333417 3859746 4444556 5789619 6315948 6666834 7719492 10000251 11579238 12222529 13333668 17368857 20000502 23158476 24445058 30000753 34737714 36667587 40001004 48890116 60001506 69475428 73335174 110002761 120003012 146670348 220005522 330008283 440011044 660016566 1320033132