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12310201321 = 112101737201
BaseRepresentation
bin10110111011011111…
…01100001111101001
31011202220211000120021
423131233230033221
5200202402420241
65353310200441
7614025661525
oct133557541751
934686730507
1012310201321
115247873500
1224767b3121
1312124c49c2
1484acc8d85
154c0ae70d1
hex2ddbec3e9

12310201321 has 6 divisors (see below), whose sum is σ = 13531047866. Its totient is φ = 11191092000.

The previous prime is 12310201303. The next prime is 12310201363.

12310201321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 8345736025 + 3964465296 = 91355^2 + 62964^2 .

It is not a de Polignac number, because 12310201321 - 233 = 3720266729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12310201295 and 12310201304.

It is not an unprimeable number, because it can be changed into a prime (12310201301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50868480 + ... + 50868721.

Almost surely, 212310201321 is an apocalyptic number.

12310201321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12310201321 is a deficient number, since it is larger than the sum of its proper divisors (1220846545).

12310201321 is a wasteful number, since it uses less digits than its factorization.

12310201321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101737223 (or 101737212 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The spelling of 12310201321 in words is "twelve billion, three hundred ten million, two hundred one thousand, three hundred twenty-one".

Divisors: 1 11 121 101737201 1119109211 12310201321