Search a number
-
+
103200355355046 = 2383325363704159
BaseRepresentation
bin10111011101110000110100…
…100001011000100110100110
3111112101212011012112101201020
4113131300310201120212212
5102011313311432330141
61003253331100512010
730510660003623025
oct2735606441304646
9445355135471636
10103200355355046
112a979030196604
12b6a8b0624b606
1345779a07a4771
141b6acd108c8bc
15bde72877d266
hex5ddc348589a6

103200355355046 has 32 divisors (see below), whose sum is σ = 208951683333120. Its totient is φ = 33975211177824.

The previous prime is 103200355355003. The next prime is 103200355355047. The reversal of 103200355355046 is 640553553002301.

It is a junction number, because it is equal to n+sod(n) for n = 103200355354989 and 103200355355007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200355355047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30232086 + ... + 33472073.

It is an arithmetic number, because the mean of its divisors is an integer number (6529740104160).

Almost surely, 2103200355355046 is an apocalyptic number.

103200355355046 is an abundant number, since it is smaller than the sum of its proper divisors (105751327978074).

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

103200355355046 is a wasteful number, since it uses less digits than its factorization.

103200355355046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63707500.

The product of its (nonzero) digits is 810000, while the sum is 42.

The spelling of 103200355355046 in words is "one hundred three trillion, two hundred billion, three hundred fifty-five million, three hundred fifty-five thousand, forty-six".

Divisors: 1 2 3 6 83 166 249 498 3253 6506 9759 19518 269999 539998 809997 1619994 63704159 127408318 191112477 382224954 5287445197 10574890394 15862335591 31724671182 207229629227 414459258454 621688887681 1243377775362 17200059225841 34400118451682 51600177677523 103200355355046