Search a number
-
+
10306264661 = 711228574259
BaseRepresentation
bin10011001100100110…
…10001111001010101
3222121021001111020222
421212103101321111
5132101400432121
64422403004125
7513253542560
oct114623217125
928537044228
1010306264661
114409688200
121bb7669645
13c8329c874
146daac74d7
15404c080ab
hex2664d1e55

10306264661 has 24 divisors (see below), whose sum is σ = 12954285120. Its totient is φ = 8026159680.

The previous prime is 10306264651. The next prime is 10306264693. The reversal of 10306264661 is 16646260301.

10306264661 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 10306264661 - 222 = 10302070357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10306264651) 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 23 ways as a sum of consecutive naturals, for example, 2417750 + ... + 2422008.

It is an arithmetic number, because the mean of its divisors is an integer number (539761880).

Almost surely, 210306264661 is an apocalyptic number.

10306264661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10306264661 is a deficient number, since it is larger than the sum of its proper divisors (2648020459).

10306264661 is a wasteful number, since it uses less digits than its factorization.

10306264661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7145 (or 7134 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 10306264661 in words is "ten billion, three hundred six million, two hundred sixty-four thousand, six hundred sixty-one".

Divisors: 1 7 11 77 121 847 2857 4259 19999 29813 31427 46849 219989 327943 345697 515339 2419879 3607373 12167963 85175741 133847593 936933151 1472323523 10306264661