Search a number
-
+
106060506111 = 3374733013617
BaseRepresentation
bin110001011000110110…
…0101110001111111111
3101010202112112221201000
41202301230232033333
53214202442143421
6120420140421343
710443164266350
oct1426154561777
9333675487630
10106060506111
1140a8643303a
121867b547853
13a0032a1931
1451c1cddd27
152b5b325226
hex18b1b2e3ff

106060506111 has 64 divisors (see below), whose sum is σ = 183500328960. Its totient is φ = 59282150400.

The previous prime is 106060506091. The next prime is 106060506127. The reversal of 106060506111 is 111605060601.

106060506111 is a `hidden beast` number, since 1 + 0 + 606 + 0 + 50 + 6 + 1 + 1 + 1 = 666.

It is not a de Polignac number, because 106060506111 - 211 = 106060504063 is a prime.

It is a super-2 number, since 2×1060605061112 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106060508111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29320975 + ... + 29324591.

It is an arithmetic number, because the mean of its divisors is an integer number (2867192640).

Almost surely, 2106060506111 is an apocalyptic number.

106060506111 is a deficient number, since it is larger than the sum of its proper divisors (77439822849).

106060506111 is a wasteful number, since it uses less digits than its factorization.

106060506111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981 (or 6975 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 106060506111 its reverse (111605060601), we get a palindrome (217665566712).

It can be divided in two parts, 106060 and 506111, that added together give a triangular number (612171 = T1106).

The spelling of 106060506111 in words is "one hundred six billion, sixty million, five hundred six thousand, one hundred eleven".

Divisors: 1 3 7 9 21 27 47 63 141 189 329 423 987 1269 2961 3301 3617 8883 9903 10851 23107 25319 29709 32553 69321 75957 89127 97659 155147 169999 207963 227871 465441 509997 623889 683613 1086029 1189993 1396323 1529991 3258087 3569979 4188969 4589973 9774261 10709937 11939717 29322783 32129811 35819151 83578019 107457453 250734057 322372359 561166699 752202171 1683500097 2256606513 3928166893 5050500291 11784500679 15151500873 35353502037 106060506111