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1343311100 = 2252171515233
BaseRepresentation
bin101000000010001…
…0100110011111100
310110121200021101222
41100010110303330
510222341423400
6341143452512
745200645615
oct12004246374
93417607358
101343311100
1162a29a56a
12315a57138
131853c0951
14ca596c0c
157cde8185
hex50114cfc

1343311100 has 72 divisors (see below), whose sum is σ = 3107488608. Its totient is φ = 502272000.

The previous prime is 1343311097. The next prime is 1343311141. The reversal of 1343311100 is 11133431.

It is a super-2 number, since 2×13433111002 = 3608969422766420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254084 + ... + 259316.

It is an arithmetic number, because the mean of its divisors is an integer number (43159564).

Almost surely, 21343311100 is an apocalyptic number.

1343311100 is a gapful number since it is divisible by the number (10) 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 1343311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553744304).

1343311100 is an abundant number, since it is smaller than the sum of its proper divisors (1764177508).

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

1343311100 is a wasteful number, since it uses less digits than its factorization.

1343311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5415 (or 5408 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1343311100 is about 36651.2087113099. The cubic root of 1343311100 is about 1103.3810844716.

Adding to 1343311100 its reverse (11133431), we get a palindrome (1354444531).

The spelling of 1343311100 in words is "one billion, three hundred forty-three million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 151 170 302 340 425 604 755 850 1510 1700 2567 3020 3775 5134 5233 7550 10268 10466 12835 15100 20932 25670 26165 51340 52330 64175 88961 104660 128350 130825 177922 256700 261650 355844 444805 523300 790183 889610 1580366 1779220 2224025 3160732 3950915 4448050 7901830 8896100 13433111 15803660 19754575 26866222 39509150 53732444 67165555 79018300 134331110 268662220 335827775 671655550 1343311100