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1005522323 = 133713715259
BaseRepresentation
bin111011111011110…
…000110110010011
32121002001211022112
4323323300312103
54024403203243
6243435455535
733626540651
oct7373606623
92532054275
101005522323
11476655893
122408b75ab
13130421930
1497787dd1
155d422818
hex3bef0d93

1005522323 has 16 divisors (see below), whose sum is σ = 1120328160. Its totient is φ = 896438016.

The previous prime is 1005522317. The next prime is 1005522347. The reversal of 1005522323 is 3232255001.

It is a cyclic number.

It is not a de Polignac number, because 1005522323 - 216 = 1005456787 is a prime.

It is a super-2 number, since 2×10055223232 = 2022150284102632658, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005522223) 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 15 ways as a sum of consecutive naturals, for example, 58268 + ... + 73526.

It is an arithmetic number, because the mean of its divisors is an integer number (70020510).

Almost surely, 21005522323 is an apocalyptic number.

1005522323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1005522323 is a deficient number, since it is larger than the sum of its proper divisors (114805837).

1005522323 is a wasteful number, since it uses less digits than its factorization.

1005522323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15446.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 1005522323 is about 31709.9719804354. The cubic root of 1005522323 is about 1001.8373962407.

Adding to 1005522323 its reverse (3232255001), we get a palindrome (4237777324).

The spelling of 1005522323 in words is "one billion, five million, five hundred twenty-two thousand, three hundred twenty-three".

Divisors: 1 13 37 137 481 1781 5069 15259 65897 198367 564583 2090483 7339579 27176279 77347871 1005522323