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213148383 = 3722322741
BaseRepresentation
bin11001011010001…
…10001011011111
3112212002001121120
430231012023133
5414031222013
633052302023
75165505600
oct1455061337
9485061546
10213148383
11aa353598
125b471913
133520bc06
1420445da7
1513aa5123
hexcb462df

213148383 has 36 divisors (see below), whose sum is σ = 345722328. Its totient is φ = 116460960.

The previous prime is 213148361. The next prime is 213148423. The reversal of 213148383 is 383841312.

It is not a de Polignac number, because 213148383 - 218 = 212886239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213148333) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76393 + ... + 79133.

It is an arithmetic number, because the mean of its divisors is an integer number (9603398).

Almost surely, 2213148383 is an apocalyptic number.

213148383 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

213148383 is a deficient number, since it is larger than the sum of its proper divisors (132573945).

213148383 is a wasteful number, since it uses less digits than its factorization.

213148383 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2774 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 213148383 is about 14599.6021521136. The cubic root of 213148383 is about 597.3479085121.

Adding to 213148383 its reverse (383841312), we get a palindrome (596989695).

It can be divided in two parts, 213148 and 383, that added together give a triangular number (213531 = T653).

The spelling of 213148383 in words is "two hundred thirteen million, one hundred forty-eight thousand, three hundred eighty-three".

Divisors: 1 3 7 21 23 49 69 147 161 483 529 1127 1587 2741 3381 3703 8223 11109 19187 25921 57561 63043 77763 134309 189129 402927 441301 1323903 1449989 3089107 4349967 9267321 10149923 30449769 71049461 213148383