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10390509181 = 132814336569
BaseRepresentation
bin10011010110101001…
…01001011001111101
3222211010120120000101
421223110221121331
5132234432243211
64435012401101
7515325604453
oct115324513175
928733516011
1010390509181
114452198378
12201b916191
13c97887bb0
14707d769d3
1540c2e95c1
hex26b52967d

10390509181 has 16 divisors (see below), whose sum is σ = 11257248240. Its totient is φ = 9533583360.

The previous prime is 10390509163. The next prime is 10390509197. The reversal of 10390509181 is 18190509301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 95160025 + 10295349156 = 9755^2 + 101466^2 .

It is a cyclic number.

It is not a de Polignac number, because 10390509181 - 215 = 10390476413 is a prime.

It is a super-2 number, since 2×103905091812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10390509181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10390509781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1578465 + ... + 1585033.

It is an arithmetic number, because the mean of its divisors is an integer number (703578015).

Almost surely, 210390509181 is an apocalyptic number.

It is an amenable number.

10390509181 is a deficient number, since it is larger than the sum of its proper divisors (866739059).

10390509181 is a wasteful number, since it uses less digits than its factorization.

10390509181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296.

The product of its (nonzero) digits is 9720, while the sum is 37.

The spelling of 10390509181 in words is "ten billion, three hundred ninety million, five hundred nine thousand, one hundred eighty-one".

Divisors: 1 13 281 433 3653 5629 6569 85397 121673 1581749 1845889 2844377 23996557 36976901 799269937 10390509181