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10212319 = 131097207
BaseRepresentation
bin100110111101…
…001111011111
3201012211200001
4212331033133
510103243234
61002515131
7152542345
oct46751737
921184601
1010212319
115845737
123505aa7
1321673c0
1414db995
15d6ad14
hex9bd3df

10212319 has 8 divisors (see below), whose sum is σ = 11100320. Its totient is φ = 9338976.

The previous prime is 10212317. The next prime is 10212353. The reversal of 10212319 is 91321201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10212319 - 21 = 10212317 is a prime.

It is a super-2 number, since 2×102123192 = 208582918715522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10212296 and 10212305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212313) 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 7 ways as a sum of consecutive naturals, for example, 2187 + ... + 5020.

It is an arithmetic number, because the mean of its divisors is an integer number (1387540).

Almost surely, 210212319 is an apocalyptic number.

10212319 is a deficient number, since it is larger than the sum of its proper divisors (888001).

10212319 is a wasteful number, since it uses less digits than its factorization.

10212319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7329.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 10212319 is about 3195.6719168275. The cubic root of 10212319 is about 216.9575614093.

It can be divided in two parts, 10212 and 319, that multiplied together give a triangular number (3257628 = T2552).

The spelling of 10212319 in words is "ten million, two hundred twelve thousand, three hundred nineteen".

Divisors: 1 13 109 1417 7207 93691 785563 10212319