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103114142340012 = 223222259128679713
BaseRepresentation
bin10111011100100000100001…
…110100110101001110101100
3111112002121121212112110100100
4113130200201310311032230
5102003410230414340022
61003145552200431100
730501515400240666
oct2734404164651654
9445077555473310
10103114142340012
112a94550a197361
12b694265778490
13456c8114108bb
141b66a730d5536
15bdc37eaeb1ac
hex5dc821d353ac

103114142340012 has 36 divisors (see below), whose sum is σ = 260661349461240. Its totient is φ = 34369836356352.

The previous prime is 103114142340007. The next prime is 103114142340029. The reversal of 103114142340012 is 210043241411301.

It is a happy number.

103114142340012 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 1 + 414 + 234 + 0 + 0 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63538533 + ... + 65141180.

It is an arithmetic number, because the mean of its divisors is an integer number (7240593040590).

Almost surely, 2103114142340012 is an apocalyptic number.

103114142340012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103114142340012 is an abundant number, since it is smaller than the sum of its proper divisors (157547207121228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103114142340012 is a wasteful number, since it uses less digits than its factorization.

103114142340012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128701982 (or 128701977 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 103114142340012 its reverse (210043241411301), we get a palindrome (313157383751313).

The spelling of 103114142340012 in words is "one hundred three trillion, one hundred fourteen billion, one hundred forty-two million, three hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 22259 44518 66777 89036 133554 200331 267108 400662 801324 128679713 257359426 386039139 514718852 772078278 1158117417 1544156556 2316234834 4632469668 2864281731667 5728563463334 8592845195001 11457126926668 17185690390002 25778535585003 34371380780004 51557071170006 103114142340012