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1312211013 = 3672139701
BaseRepresentation
bin100111000110110…
…1100000001000101
310101110011020002220
41032031230001011
510141411223023
6334113122553
744342416041
oct11615540105
93343136086
101312211013
11613788613
12307559459
1317bb22029
14c63bd021
157a3033e3
hex4e36c045

1312211013 has 24 divisors (see below), whose sum is σ = 1791447840. Its totient is φ = 854330400.

The previous prime is 1312210981. The next prime is 1312211051. The reversal of 1312211013 is 3101122131.

It is a happy number.

It is not a de Polignac number, because 1312211013 - 25 = 1312210981 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1312210983 and 1312211001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312211213) by changing a digit.

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, 1871563 + ... + 1872263.

It is an arithmetic number, because the mean of its divisors is an integer number (74643660).

Almost surely, 21312211013 is an apocalyptic number.

It is an amenable number.

1312211013 is a deficient number, since it is larger than the sum of its proper divisors (479236827).

1312211013 is an equidigital number, since it uses as much as digits as its factorization.

1312211013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1312211013 is about 36224.4532463914. The cubic root of 1312211013 is about 1094.7994219880.

Adding to 1312211013 its reverse (3101122131), we get a palindrome (4413333144).

The spelling of 1312211013 in words is "one billion, three hundred twelve million, two hundred eleven thousand, thirteen".

Divisors: 1 3 67 139 201 417 701 2103 4489 9313 13467 27939 46967 97439 140901 292317 623971 1871913 3146789 6528413 9440367 19585239 437403671 1312211013