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106143213223 = 10911319874337
BaseRepresentation
bin110001011011010100…
…0001110011010100111
3101010222022011220112101
41202312220032122213
53214340130310343
6120432253232531
710445220266065
oct1426650163247
9333868156471
10106143213223
1141019093123
12186a3192747
13a01746c258
1451cccad035
152b63710e4d
hex18b6a0e6a7

106143213223 has 16 divisors (see below), whose sum is σ = 108144257760. Its totient is φ = 104162236416.

The previous prime is 106143213193. The next prime is 106143213263. The reversal of 106143213223 is 322312341601.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106143213223 is a prime.

It is a super-2 number, since 2×1061432132232 (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 = 106143213191 and 106143213200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106143213263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24471711 + ... + 24476047.

It is an arithmetic number, because the mean of its divisors is an integer number (6759016110).

Almost surely, 2106143213223 is an apocalyptic number.

106143213223 is a deficient number, since it is larger than the sum of its proper divisors (2001044537).

106143213223 is a wasteful number, since it uses less digits than its factorization.

106143213223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 106143213223 its reverse (322312341601), we get a palindrome (428455554824).

The spelling of 106143213223 in words is "one hundred six billion, one hundred forty-three million, two hundred thirteen thousand, two hundred twenty-three".

Divisors: 1 109 113 1987 4337 12317 216583 224531 472733 490081 8617619 24473879 53418829 939320471 973790947 106143213223