Search a number
-
+
1023313343 = 131922973103
BaseRepresentation
bin111100111111101…
…000010110111111
32122022112201000012
4330333220112333
54043432011333
6245313053435
734234006553
oct7477502677
92568481005
101023313343
114856a7508
1224685727b
13134010770
1499c99863
155ec88e48
hex3cfe85bf

1023313343 has 48 divisors (see below), whose sum is σ = 1231513920. Its totient is φ = 843913728.

The previous prime is 1023313321. The next prime is 1023313349. The reversal of 1023313343 is 3433133201.

It is not a de Polignac number, because 1023313343 - 26 = 1023313279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023313349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9935030 + ... + 9935132.

It is an arithmetic number, because the mean of its divisors is an integer number (25656540).

Almost surely, 21023313343 is an apocalyptic number.

1023313343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1023313343 is a deficient number, since it is larger than the sum of its proper divisors (208200577).

1023313343 is a wasteful number, since it uses less digits than its factorization.

1023313343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

The square root of 1023313343 is about 31989.2691851502. The cubic root of 1023313343 is about 1007.7114943284.

Adding to 1023313343 its reverse (3433133201), we get a palindrome (4456446544).

The spelling of 1023313343 in words is "one billion, twenty-three million, three hundred thirteen thousand, three hundred forty-three".

Divisors: 1 13 19 29 73 103 247 361 377 551 949 1339 1387 1957 2117 2987 4693 7163 7519 10469 18031 25441 26353 27521 37183 38831 40223 56753 97747 136097 142861 218051 342589 483379 522899 737789 764237 1078307 1857193 2714359 2834663 4142969 9935081 14017991 35286667 53858597 78716411 1023313343