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1320013201 = 132193189149
BaseRepresentation
bin100111010101101…
…1100110110010001
310101222211121200211
41032223130312101
510200410410301
6334552244121
744465632663
oct11653346621
93358747624
101320013201
11618127501
1230a0a0641
13180624400
14c7450533
157ad45051
hex4eadcd91

1320013201 has 48 divisors (see below), whose sum is σ = 1581120000. Its totient is φ = 1097141760.

The previous prime is 1320013199. The next prime is 1320013207. The reversal of 1320013201 is 1023100231.

It is not a de Polignac number, because 1320013201 - 21 = 1320013199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1320013207) 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 47 ways as a sum of consecutive naturals, for example, 8859075 + ... + 8859223.

It is an arithmetic number, because the mean of its divisors is an integer number (32940000).

Almost surely, 21320013201 is an apocalyptic number.

It is an amenable number.

1320013201 is a deficient number, since it is larger than the sum of its proper divisors (261106799).

1320013201 is a wasteful number, since it uses less digits than its factorization.

1320013201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1320013201 is about 36331.9859214990. The cubic root of 1320013201 is about 1096.9649672890.

Adding to 1320013201 its reverse (1023100231), we get a palindrome (2343113432).

The spelling of 1320013201 in words is "one billion, three hundred twenty million, thirteen thousand, two hundred one".

Divisors: 1 13 19 31 89 149 169 247 403 589 1157 1691 1937 2759 2831 3211 4619 5239 7657 13261 15041 21983 25181 35867 36803 52421 60047 87761 99541 172393 251959 285779 411091 466271 478439 681473 780611 1140893 2241109 3275467 5344183 7810729 8859149 14831609 42581071 69474379 101539477 1320013201