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101314222114 = 2722921229273
BaseRepresentation
bin101111001011011001…
…1000101100000100010
3100200111202120202001211
41132112303011200202
53124442420101424
6114313151220334
710214442451600
oct1362663054042
9320452522054
10101314222114
1139a70267686
1217775b176aa
139727b86c71
144c91804870
15297e7d8b94
hex1796cc5822

101314222114 has 36 divisors (see below), whose sum is σ = 183089298834. Its totient is φ = 41923092288.

The previous prime is 101314222111. The next prime is 101314222147. The reversal of 101314222114 is 411222413101.

It can be written as a sum of positive squares in 3 ways, for example, as 95880026025 + 5434196089 = 309645^2 + 73717^2 .

It is not an unprimeable number, because it can be changed into a prime (101314222111) 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 17 ways as a sum of consecutive naturals, for example, 532219 + ... + 697054.

Almost surely, 2101314222114 is an apocalyptic number.

101314222114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101314222114 is a deficient number, since it is larger than the sum of its proper divisors (81775076720).

101314222114 is a wasteful number, since it uses less digits than its factorization.

101314222114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229347 (or 1229311 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 101314222114 its reverse (411222413101), we get a palindrome (512536635215).

The spelling of 101314222114 in words is "one hundred one billion, three hundred fourteen million, two hundred twenty-two thousand, one hundred fourteen".

Divisors: 1 2 7 14 29 49 58 98 203 406 841 1421 1682 2842 5887 11774 41209 82418 1229273 2458546 8604911 17209822 35648917 60234377 71297834 120468754 249542419 499084838 1033818593 1746796933 2067637186 3493593866 7236730151 14473460302 50657111057 101314222114