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10216430561 = 294734721601
BaseRepresentation
bin10011000001111001…
…00101101111100001
3222101000000110001002
421200330211233201
5131410401234221
64405433321345
7511113140561
oct114074455741
928330013032
1010216430561
1143729aa547
121b91566255
13c6a7a82ac
146ccbc0da1
153ebdb080b
hex260f25be1

10216430561 has 16 divisors (see below), whose sum is σ = 10825194240. Its totient is φ = 9625996800.

The previous prime is 10216430557. The next prime is 10216430563. The reversal of 10216430561 is 16503461201.

It is a happy number.

10216430561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10216430561 - 22 = 10216430557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (10216430563) 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 15 ways as a sum of consecutive naturals, for example, 462161 + ... + 483761.

It is an arithmetic number, because the mean of its divisors is an integer number (676574640).

Almost surely, 210216430561 is an apocalyptic number.

It is an amenable number.

10216430561 is a deficient number, since it is larger than the sum of its proper divisors (608763679).

10216430561 is a wasteful number, since it uses less digits than its factorization.

10216430561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22024.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 10216430561 its reverse (16503461201), we get a palindrome (26719891762).

The spelling of 10216430561 in words is "ten billion, two hundred sixteen million, four hundred thirty thousand, five hundred sixty-one".

Divisors: 1 29 47 347 1363 10063 16309 21601 472961 626429 1015247 7495547 29442163 217370863 352290709 10216430561