Search a number
-
+
1301313213 = 323174391039
BaseRepresentation
bin100110110010000…
…0111011010111101
310100200122120010200
41031210013122331
510131114010323
6333043354113
744150660034
oct11544073275
93320576120
101301313213
11608614972
12303982939
131797a7925
14c4b8371b
157939e443
hex4d9076bd

1301313213 has 24 divisors (see below), whose sum is σ = 1891718400. Its totient is φ = 862005024.

The previous prime is 1301313203. The next prime is 1301313239. The reversal of 1301313213 is 3123131031.

It is a happy number.

It is not a de Polignac number, because 1301313213 - 24 = 1301313197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301313203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1251948 + ... + 1252986.

It is an arithmetic number, because the mean of its divisors is an integer number (78821600).

Almost surely, 21301313213 is an apocalyptic number.

It is an amenable number.

1301313213 is a deficient number, since it is larger than the sum of its proper divisors (590405187).

1301313213 is a wasteful number, since it uses less digits than its factorization.

1301313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1301313213 is about 36073.7191456606. The cubic root of 1301313213 is about 1091.7602545979.

Adding to 1301313213 its reverse (3123131031), we get a palindrome (4424444244).

It can be divided in two parts, 130131 and 3213, that multiplied together give a triangular number (418110903 = T28917).

The spelling of 1301313213 in words is "one billion, three hundred one million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 317 439 951 1039 1317 2853 3117 3951 9351 139163 329363 417489 456121 988089 1252467 1368363 2964267 4105089 144590357 433771071 1301313213