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103210022133 = 32411092566073
BaseRepresentation
bin110000000011111001…
…0111111010011110101
3100212101212212100210100
41200013302333103311
53142333231202013
6115225232544313
710312432466421
oct1400762772365
9325355770710
10103210022133
113a853404259
12180049b2099
13996a879c1a
144dd14d7b81
152a40e67473
hex1807cbf4f5

103210022133 has 24 divisors (see below), whose sum is σ = 154118404440. Its totient is φ = 66512586240.

The previous prime is 103210022089. The next prime is 103210022147. The reversal of 103210022133 is 331220012301.

It can be written as a sum of positive squares in 4 ways, for example, as 80407089 + 103129615044 = 8967^2 + 321138^2 .

It is not a de Polignac number, because 103210022133 - 213 = 103210013941 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103210022173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242816 + ... + 1323257.

It is an arithmetic number, because the mean of its divisors is an integer number (6421600185).

Almost surely, 2103210022133 is an apocalyptic number.

It is an amenable number.

103210022133 is a deficient number, since it is larger than the sum of its proper divisors (50908382307).

103210022133 is a wasteful number, since it uses less digits than its factorization.

103210022133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566229 (or 2566226 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103210022133 its reverse (331220012301), we get a palindrome (434430034434).

The spelling of 103210022133 in words is "one hundred three billion, two hundred ten million, twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 41 109 123 327 369 981 4469 13407 40221 2566073 7698219 23094657 105208993 279701957 315626979 839105871 946880937 2517317613 11467780237 34403340711 103210022133