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106121121093 = 32131755151679
BaseRepresentation
bin110001011010101001…
…1111100110101000101
3101010220202121111211100
41202311103330311011
53214314001333333
6120430143530313
710444531434411
oct1426523746505
9333822544740
10106121121093
1141007673a69
12186978b9999
13a012a057a0
1451c9d9bd41
152b617ea213
hex18b54fcd45

106121121093 has 24 divisors (see below), whose sum is σ = 165089899520. Its totient is φ = 65300320800.

The previous prime is 106121121091. The next prime is 106121121109. The reversal of 106121121093 is 390121121601.

It is a happy number.

106121121093 is a `hidden beast` number, since 10 + 612 + 11 + 21 + 0 + 9 + 3 = 666.

It is not a de Polignac number, because 106121121093 - 21 = 106121121091 is a prime.

It is a super-2 number, since 2×1061211210932 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106121121091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2027628 + ... + 2079306.

Almost surely, 2106121121093 is an apocalyptic number.

106121121093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106121121093 is a deficient number, since it is larger than the sum of its proper divisors (58968778427).

106121121093 is a wasteful number, since it uses less digits than its factorization.

106121121093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69249 (or 69246 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

Adding to 106121121093 its reverse (390121121601), we get a palindrome (496242242694).

The spelling of 106121121093 in words is "one hundred six billion, one hundred twenty-one million, one hundred twenty-one thousand, ninety-three".

Divisors: 1 3 9 13 39 117 17551 51679 52653 155037 157959 228163 465111 671827 684489 2015481 2053467 6046443 907018129 2721054387 8163163161 11791235677 35373707031 106121121093