Search a number
-
+
1303122002013 = 321321945092287
BaseRepresentation
bin10010111101101000000…
…111111100000001011101
311121120120210221120212100
4102331220013330001131
5132322243213031023
62434351310555313
7163101402154146
oct22755007740135
94546523846770
101303122002013
11462718441547
12190678b08b39
1395b64b56c00
144710006cacd
1523d6d067c43
hex12f681fc05d

1303122002013 has 36 divisors (see below), whose sum is σ = 2145491063040. Its totient is φ = 759714834528.

The previous prime is 1303122001997. The next prime is 1303122002029. The reversal of 1303122002013 is 3102002213031.

1303122002013 is a `hidden beast` number, since 130 + 312 + 20 + 0 + 201 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (1303122001997) and next prime (1303122002029).

It is not a de Polignac number, because 1303122002013 - 24 = 1303122001997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303122012013) 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, 22517245 + ... + 22575042.

Almost surely, 21303122002013 is an apocalyptic number.

1303122002013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1303122002013 is a deficient number, since it is larger than the sum of its proper divisors (842369061027).

1303122002013 is a wasteful number, since it uses less digits than its factorization.

1303122002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45092338 (or 45092322 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1303122002013 its reverse (3102002213031), we get a palindrome (4405124215044).

The spelling of 1303122002013 in words is "one trillion, three hundred three billion, one hundred twenty-two million, two thousand, thirteen".

Divisors: 1 3 9 13 19 39 57 117 169 171 247 507 741 1521 2223 3211 9633 28899 45092287 135276861 405830583 586199731 856753453 1758599193 2570260359 5275797579 7620596503 7710781077 11137794889 22861789509 33413384667 68585368527 100240154001 144791333557 434374000671 1303122002013