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103442301211041 = 321329151201900487
BaseRepresentation
bin10111100001010010001001…
…100111100101000110100001
3111120020222122211100100022200
4113201102021213211012201
5102024244313102223131
61004000423120123413
730534313440515262
oct2741221147450641
9446228584310280
10103442301211041
112aa616a73311a1
12b727989466569
13459474b043b70
141b788c3d40969
15be5b894542e6
hex5e14899e51a1

103442301211041 has 48 divisors (see below), whose sum is σ = 167561253000960. Its totient is φ = 61054706966400.

The previous prime is 103442301211013. The next prime is 103442301211043. The reversal of 103442301211041 is 140112103244301.

It is a happy number.

103442301211041 is a `hidden beast` number, since 1 + 0 + 3 + 442 + 3 + 0 + 1 + 211 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 103442301211041 - 29 = 103442301210529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103442301210996 and 103442301211014.

It is not an unprimeable number, because it can be changed into a prime (103442301211043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100437901 + ... + 101462586.

It is an arithmetic number, because the mean of its divisors is an integer number (3490859437520).

Almost surely, 2103442301211041 is an apocalyptic number.

It is an amenable number.

103442301211041 is a deficient number, since it is larger than the sum of its proper divisors (64118951789919).

103442301211041 is a wasteful number, since it uses less digits than its factorization.

103442301211041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201900686 (or 201900683 counting only the distinct ones).

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

Adding to 103442301211041 its reverse (140112103244301), we get a palindrome (243554404455342).

The spelling of 103442301211041 in words is "one hundred three trillion, four hundred forty-two billion, three hundred one million, two hundred eleven thousand, forty-one".

Divisors: 1 3 9 13 29 39 87 117 151 261 377 453 1131 1359 1963 3393 4379 5889 13137 17667 39411 56927 170781 512343 201900487 605701461 1817104383 2624706331 5855114123 7874118993 17565342369 23622356979 30486973537 52696027107 76116483599 91460920611 228349450797 274382761833 396330655981 685048352391 884122232573 1188991967943 2652366697719 3566975903829 7957100093157 11493589023449 34480767070347 103442301211041