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106152121206 = 23267494317807
BaseRepresentation
bin110001011011100101…
…0001101001101110110
3101010222220221110222200
41202313022031031312
53214344420334311
6120433212205330
710445356066635
oct1426712151566
9333886843880
10106152121206
114102311789a
12186a6169846
13a01926aa51
1451d014b51c
152b643c0556
hex18b728d376

106152121206 has 48 divisors (see below), whose sum is σ = 233489378304. Its totient is φ = 34846911792.

The previous prime is 106152121189. The next prime is 106152121241. The reversal of 106152121206 is 602121251601.

106152121206 is a `hidden beast` number, since 1 + 0 + 615 + 2 + 1 + 21 + 20 + 6 = 666.

It is a super-2 number, since 2×1061521212062 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106152121206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5952355 + ... + 5970161.

It is an arithmetic number, because the mean of its divisors is an integer number (4864362048).

Almost surely, 2106152121206 is an apocalyptic number.

106152121206 is an abundant number, since it is smaller than the sum of its proper divisors (127337257098).

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

106152121206 is a wasteful number, since it uses less digits than its factorization.

106152121206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22825 (or 22822 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 106152121206 its reverse (602121251601), we get a palindrome (708273372807).

The spelling of 106152121206 in words is "one hundred six billion, one hundred fifty-two million, one hundred twenty-one thousand, two hundred six".

Divisors: 1 2 3 6 9 18 67 134 201 402 603 1206 4943 9886 14829 17807 29658 35614 44487 53421 88974 106842 160263 320526 331181 662362 993543 1193069 1987086 2386138 2980629 3579207 5961258 7158414 10737621 21475242 88020001 176040002 264060003 528120006 792180009 1584360018 5897340067 11794680134 17692020201 35384040402 53076060603 106152121206