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13212312021 = 321798201311
BaseRepresentation
bin11000100111000001…
…11110000111010101
31021002210021222210200
430103200332013111
5204024322441041
610023013411113
7645261541056
oct142340760725
937083258720
1013212312021
115670007637
122688939a99
13132737a00c
148d4a3472d
15524dde1b6
hex31383e1d5

13212312021 has 12 divisors (see below), whose sum is σ = 19191070080. Its totient is φ = 8758999080.

The previous prime is 13212312013. The next prime is 13212312037. The reversal of 13212312021 is 12021321231.

13212312021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13212312021 - 23 = 13212312013 is a prime.

It is a super-2 number, since 2×132123120212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13212311985 and 13212312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212312011) 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 11 ways as a sum of consecutive naturals, for example, 4099045 + ... + 4102266.

It is an arithmetic number, because the mean of its divisors is an integer number (1599255840).

Almost surely, 213212312021 is an apocalyptic number.

It is an amenable number.

13212312021 is a deficient number, since it is larger than the sum of its proper divisors (5978758059).

13212312021 is a wasteful number, since it uses less digits than its factorization.

13212312021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8201496 (or 8201493 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13212312021 its reverse (12021321231), we get a palindrome (25233633252).

The spelling of 13212312021 in words is "thirteen billion, two hundred twelve million, three hundred twelve thousand, twenty-one".

Divisors: 1 3 9 179 537 1611 8201311 24603933 73811799 1468034669 4404104007 13212312021