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103312322133 = 3911260914489
BaseRepresentation
bin110000000110111100…
…1001110111001010101
3100212200000100202000020
41200031321032321111
53143040423302013
6115243325335353
710315114151226
oct1401571167125
9325600322006
10103312322133
113a8a6126809
1218033107559
139985b17577
145000d2724d
152a49e23623
hex180de4ee55

103312322133 has 16 divisors (see below), whose sum is σ = 137963347200. Its totient is φ = 68768161280.

The previous prime is 103312322131. The next prime is 103312322153. The reversal of 103312322133 is 331223213301.

It is a cyclic number.

It is not a de Polignac number, because 103312322133 - 21 = 103312322131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312322131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7123153 + ... + 7137641.

It is an arithmetic number, because the mean of its divisors is an integer number (8622709200).

Almost surely, 2103312322133 is an apocalyptic number.

It is an amenable number.

103312322133 is a deficient number, since it is larger than the sum of its proper divisors (34651025067).

103312322133 is a wasteful number, since it uses less digits than its factorization.

103312322133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18012.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103312322133 its reverse (331223213301), we get a palindrome (434535535434).

The spelling of 103312322133 in words is "one hundred three billion, three hundred twelve million, three hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 911 2609 2733 7827 14489 43467 2376799 7130397 13199479 37801801 39598437 113405403 34437440711 103312322133