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106103212323 = 3791577513797
BaseRepresentation
bin110001011010000111…
…1101000100100100011
3101010212111220122121120
41202310033220210203
53214244410243243
6120424304023323
710444223265303
oct1426417504443
9333774818546
10106103212323
1140aa8551929
1218691901b43
13a00c0a5194
1451c7859603
152b5ee5dc83
hex18b43e8923

106103212323 has 32 divisors (see below), whose sum is σ = 144404213760. Its totient is φ = 69284592000.

The previous prime is 106103212321. The next prime is 106103212337. The reversal of 106103212323 is 323212301601.

It is not a de Polignac number, because 106103212323 - 21 = 106103212321 is a prime.

It is a super-2 number, since 2×1061032123232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106103212293 and 106103212302.

It is not an unprimeable number, because it can be changed into a prime (106103212321) 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 31 ways as a sum of consecutive naturals, for example, 27942061 + ... + 27945857.

It is an arithmetic number, because the mean of its divisors is an integer number (4512631680).

Almost surely, 2106103212323 is an apocalyptic number.

106103212323 is a deficient number, since it is larger than the sum of its proper divisors (38301001437).

106103212323 is a wasteful number, since it uses less digits than its factorization.

106103212323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 106103212323 its reverse (323212301601), we get a palindrome (429315513924).

The spelling of 106103212323 in words is "one hundred six billion, one hundred three million, two hundred twelve thousand, three hundred twenty-three".

Divisors: 1 3 79 157 237 471 751 2253 3797 11391 12403 37209 59329 117907 177987 299963 353721 596129 899889 1788387 2851547 8554641 9314653 27943959 47094191 141282573 225272213 447692879 675816639 1343078637 35367737441 106103212323