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10202003319 = 315532189741
BaseRepresentation
bin10011000000001011…
…00011011101110111
3222022222212110120210
421200011203131313
5131343203101234
64404200200503
7510546411624
oct114005433567
928288773523
1010202003319
114365846102
121b88769133
13c677c6571
146cad0734b
153ea9b0be9
hex260163777

10202003319 has 8 divisors (see below), whose sum is σ = 13611436272. Its totient is φ = 6796952960.

The previous prime is 10202003291. The next prime is 10202003333. The reversal of 10202003319 is 91330020201.

It is a happy number.

10202003319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10202003319 - 27 = 10202003191 is a prime.

It is a super-2 number, since 2×102020033192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10202003295 and 10202003304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202003389) 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, 1090212 + ... + 1099529.

It is an arithmetic number, because the mean of its divisors is an integer number (1701429534).

Almost surely, 210202003319 is an apocalyptic number.

10202003319 is a deficient number, since it is larger than the sum of its proper divisors (3409432953).

10202003319 is a wasteful number, since it uses less digits than its factorization.

10202003319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191297.

The product of its (nonzero) digits is 324, while the sum is 21.

The spelling of 10202003319 in words is "ten billion, two hundred two million, three thousand, three hundred nineteen".

Divisors: 1 3 1553 4659 2189741 6569223 3400667773 10202003319