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106431310 = 2597113971
BaseRepresentation
bin1100101100000…
…00001101001110
321102021021022101
412112000031032
5204221300220
614321105314
72431436236
oct626001516
9242237271
10106431310
1155094467
122b78823a
1319085c0b
14101c6cc6
15952530a
hex658034e

106431310 has 32 divisors (see below), whose sum is σ = 195465312. Its totient is φ = 41717760.

The previous prime is 106431257. The next prime is 106431313. The reversal of 106431310 is 13134601.

It is a super-2 number, since 2×1064313102 = 22655247496632200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106431313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109125 + ... + 110095.

It is an arithmetic number, because the mean of its divisors is an integer number (6108291).

Almost surely, 2106431310 is an apocalyptic number.

106431310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106431310 is a deficient number, since it is larger than the sum of its proper divisors (89034002).

106431310 is a wasteful number, since it uses less digits than its factorization.

106431310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 106431310 is about 10316.5551421005. Note that the first 3 decimals coincide. The cubic root of 106431310 is about 473.9033760094.

Adding to 106431310 its reverse (13134601), we get a palindrome (119565911).

The spelling of 106431310 in words is "one hundred six million, four hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 5 10 97 113 194 226 485 565 970 971 1130 1942 4855 9710 10961 21922 54805 94187 109610 109723 188374 219446 470935 548615 941870 1097230 10643131 21286262 53215655 106431310