Search a number
-
+
1106246661 = 3131747131271
BaseRepresentation
bin100000111101111…
…1111110000000101
32212002121011010120
41001323333300011
54231144343121
6301434412153
736261640632
oct10173776005
92762534116
101106246661
115184a1543
1226a591059
1314825a030
14a6cc7189
15671bbbc6
hex41effc05

1106246661 has 64 divisors (see below), whose sum is σ = 1737179136. Its totient is φ = 620006400.

The previous prime is 1106246623. The next prime is 1106246689. The reversal of 1106246661 is 1666426011.

It is a happy number.

It is not a de Polignac number, because 1106246661 - 214 = 1106230277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106246611) 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 63 ways as a sum of consecutive naturals, for example, 4081956 + ... + 4082226.

It is an arithmetic number, because the mean of its divisors is an integer number (27143424).

Almost surely, 21106246661 is an apocalyptic number.

It is an amenable number.

1106246661 is a deficient number, since it is larger than the sum of its proper divisors (630932475).

1106246661 is a wasteful number, since it uses less digits than its factorization.

1106246661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1106246661 is about 33260.2865441656. The cubic root of 1106246661 is about 1034.2304597381.

The spelling of 1106246661 in words is "one billion, one hundred six million, two hundred forty-six thousand, six hundred sixty-one".

Divisors: 1 3 13 17 39 47 51 131 141 221 271 393 611 663 799 813 1703 1833 2227 2397 3523 4607 5109 6157 6681 10387 10569 12737 13821 18471 28951 31161 35501 38211 59891 80041 86853 104669 106503 165581 179673 216529 240123 314007 461513 496743 603517 649587 1360697 1384539 1668547 1810551 2814877 4082091 5005641 7845721 8444631 21691111 23537163 28365299 65073333 85095897 368748887 1106246661