Search a number
-
+
1303223012 = 227313312357
BaseRepresentation
bin100110110101101…
…1001101011100100
310100211020120212222
41031223121223210
510132111114022
6333152331512
744203133000
oct11553315344
93324216788
101303223012
116096a9813
12304543b98
13179cc5ca0
14c511d700
157962a242
hex4dad9ae4

1303223012 has 96 divisors (see below), whose sum is σ = 2957875200. Its totient is φ = 498718080.

The previous prime is 1303222961. The next prime is 1303223021. The reversal of 1303223012 is 2103223031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551738 + ... + 554094.

It is an arithmetic number, because the mean of its divisors is an integer number (30811200).

Almost surely, 21303223012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303223012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478937600).

1303223012 is an abundant number, since it is smaller than the sum of its proper divisors (1654652188).

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

1303223012 is a wasteful number, since it uses less digits than its factorization.

1303223012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1303223012 is about 36100.1802211568. The cubic root of 1303223012 is about 1092.2940803399.

Adding to 1303223012 its reverse (2103223031), we get a palindrome (3406446043).

The spelling of 1303223012 in words is "one billion, three hundred three million, two hundred twenty-three thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 31 49 52 62 91 98 124 182 196 217 343 364 403 434 637 686 806 868 1274 1372 1519 1612 2357 2548 2821 3038 4459 4714 5642 6076 8918 9428 10633 11284 16499 17836 19747 21266 30641 32998 39494 42532 61282 65996 73067 78988 115493 122564 138229 146134 214487 230986 276458 292268 428974 461972 511469 552916 808451 857948 949871 1022938 1501409 1616902 1899742 2045876 3002818 3233804 3580283 3799484 6005636 6649097 7160566 10509863 13298194 14321132 21019726 25061981 26596388 42039452 46543679 50123962 93087358 100247924 186174716 325805753 651611506 1303223012