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106226000221 = 1124391395921
BaseRepresentation
bin110001011101110010…
…0000010000101011101
3101011012001221220221111
41202323210002011131
53220022324001341
6120444411502021
710450244050435
oct1427344020535
9334161856844
10106226000221
1141060898230
1218706a57911
13a02b667043
1451d9c9d2c5
152b6ab15681
hex18bb90215d

106226000221 has 8 divisors (see below), whose sum is σ = 115887953088. Its totient is φ = 96564888000.

The previous prime is 106226000219. The next prime is 106226000263. The reversal of 106226000221 is 122000622601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106226000221 - 21 = 106226000219 is a prime.

It is a super-2 number, since 2×1062260002212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106226000192 and 106226000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106226000281) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 70341 + ... + 466261.

It is an arithmetic number, because the mean of its divisors is an integer number (14485994136).

Almost surely, 2106226000221 is an apocalyptic number.

106226000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106226000221 is a deficient number, since it is larger than the sum of its proper divisors (9661952867).

106226000221 is a wasteful number, since it uses less digits than its factorization.

106226000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420323.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 106226000221 its reverse (122000622601), we get a palindrome (228226622822).

The spelling of 106226000221 in words is "one hundred six billion, two hundred twenty-six million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 11 24391 268301 395921 4355131 9656909111 106226000221