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1320023133 = 3211131025659
BaseRepresentation
bin100111010101101…
…1111010001011101
310101222212010022200
41032223133101131
510200411220013
6334552402113
744466003642
oct11653372135
93358763280
101320023133
11618133a10
1230a0a6339
13180628aa0
14c7453dc9
157ad47e73
hex4eadf45d

1320023133 has 24 divisors (see below), whose sum is σ = 2240041440. Its totient is φ = 738473760.

The previous prime is 1320023083. The next prime is 1320023147. The reversal of 1320023133 is 3313200231.

It is not a de Polignac number, because 1320023133 - 217 = 1319892061 is a prime.

It is a super-2 number, since 2×13200231332 = 3484922143310271378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320022133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511543 + ... + 514116.

It is an arithmetic number, because the mean of its divisors is an integer number (93335060).

Almost surely, 21320023133 is an apocalyptic number.

1320023133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1320023133 is a deficient number, since it is larger than the sum of its proper divisors (920018307).

1320023133 is a wasteful number, since it uses less digits than its factorization.

1320023133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025689 (or 1025686 counting only the distinct ones).

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

The square root of 1320023133 is about 36332.1226052098. The cubic root of 1320023133 is about 1096.9677185314.

Adding to 1320023133 its reverse (3313200231), we get a palindrome (4633223364).

The spelling of 1320023133 in words is "one billion, three hundred twenty million, twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 1025659 3076977 9230931 11282249 13333567 33846747 40000701 101540241 120002103 146669237 440007711 1320023133