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10221404666 = 2111771735273
BaseRepresentation
bin10011000010011111…
…00100000111111010
3222101100101011020012
421201033210013322
5131413134422131
64410132101522
7511203335414
oct114117440772
928340334205
1010221404666
114375797680
121b931648a2
13c6b82a355
146cd7179b4
153ec54452b
hex2613e41fa

10221404666 has 64 divisors (see below), whose sum is σ = 18208717056. Its totient is φ = 4251340800.

The previous prime is 10221404663. The next prime is 10221404681. The reversal of 10221404666 is 66640412201.

10221404666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102214046662 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10221404663) 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 31 ways as a sum of consecutive naturals, for example, 1935806 + ... + 1941078.

It is an arithmetic number, because the mean of its divisors is an integer number (284511204).

Almost surely, 210221404666 is an apocalyptic number.

10221404666 is a deficient number, since it is larger than the sum of its proper divisors (7987312390).

10221404666 is a wasteful number, since it uses less digits than its factorization.

10221404666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 10221404666 its reverse (66640412201), we get a palindrome (76861816867).

The spelling of 10221404666 in words is "ten billion, two hundred twenty-one million, four hundred four thousand, six hundred sixty-six".

Divisors: 1 2 11 17 22 34 71 73 142 146 187 374 781 803 1207 1241 1562 1606 2414 2482 5183 5273 10366 10546 13277 13651 26554 27302 57013 58003 88111 89641 114026 116006 176222 179282 374383 384929 748766 769858 969221 986051 1938442 1972102 4118213 4234219 6364511 6543793 8236426 8468438 12729022 13087586 27329959 54659918 70009621 71981723 140019242 143963446 300629549 464609303 601259098 929218606 5110702333 10221404666