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106011060006 = 23192232127967
BaseRepresentation
bin110001010111011000…
…0000110011100100110
3101010122002111211101210
41202232300012130212
53214102312410011
6120411212532250
710442024066535
oct1425660063446
9333562454353
10106011060006
1140a60530495
1218666a81086
139cc5c7b697
1451b950c31c
152b56d096a6
hex18aec06726

106011060006 has 48 divisors (see below), whose sum is σ = 233497672704. Its totient is φ = 32021632368.

The previous prime is 106011059953. The next prime is 106011060011. The reversal of 106011060006 is 600060110601.

It is a super-2 number, since 2×1060110600062 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1014166 + ... + 1113801.

It is an arithmetic number, because the mean of its divisors is an integer number (4864534848).

Almost surely, 2106011060006 is an apocalyptic number.

106011060006 is an abundant number, since it is smaller than the sum of its proper divisors (127486612698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106011060006 is a wasteful number, since it uses less digits than its factorization.

106011060006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128033 (or 2128014 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 106011060006 its reverse (600060110601), we get a palindrome (706071170607).

The spelling of 106011060006 in words is "one hundred six billion, eleven million, sixty thousand, six".

Divisors: 1 2 3 6 19 23 38 46 57 69 114 138 361 437 722 874 1083 1311 2166 2622 8303 16606 24909 49818 2127967 4255934 6383901 12767802 40431373 48943241 80862746 97886482 121294119 146829723 242588238 293659446 768196087 929921579 1536392174 1859843158 2304588261 2789764737 4609176522 5579529474 17668510001 35337020002 53005530003 106011060006