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106220010006 = 23211536464697
BaseRepresentation
bin110001011101100110…
…1001011101000010110
3101011011122200120220200
41202323031023220112
53220014310310011
6120444035241330
710450142121315
oct1427315135026
9334148616820
10106220010006
1141058476740
1218704a49246
13a02a34a636
1451d918027c
152b6a330856
hex18bb34ba16

106220010006 has 24 divisors (see below), whose sum is σ = 251065478664. Its totient is φ = 32187881760.

The previous prime is 106220009971. The next prime is 106220010059. The reversal of 106220010006 is 600010022601.

It is a happy number.

It is a super-2 number, since 2×1062200100062 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268232151 + ... + 268232546.

It is an arithmetic number, because the mean of its divisors is an integer number (10461061611).

Almost surely, 2106220010006 is an apocalyptic number.

106220010006 is an abundant number, since it is smaller than the sum of its proper divisors (144845468658).

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

106220010006 is a wasteful number, since it uses less digits than its factorization.

106220010006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536464716 (or 536464713 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 106220010006 its reverse (600010022601), we get a palindrome (706230032607).

The spelling of 106220010006 in words is "one hundred six billion, two hundred twenty million, ten thousand, six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 536464697 1072929394 1609394091 3218788182 4828182273 5901111667 9656364546 11802223334 17703335001 35406670002 53110005003 106220010006