Search a number
-
+
103011020221123 = 7198813181276371
BaseRepresentation
bin10111011011000000011111…
…010001001010101011000011
3111111201202110010002001010201
4113123000133101022223003
5102000213032134033443
61003030335343510031
730461205052552030
oct2733003721125303
9444652403061121
10103011020221123
112a905801472113
12b6782862b8317
134562b88b30441
141b61a8d560387
15bd984674934d
hex5db01f44aac3

103011020221123 has 32 divisors (see below), whose sum is σ = 124103144148480. Its totient is φ = 83526531264000.

The previous prime is 103011020221111. The next prime is 103011020221141. The reversal of 103011020221123 is 321122020110301.

It is a cyclic number.

It is not a de Polignac number, because 103011020221123 - 25 = 103011020221091 is a prime.

It is a super-3 number, since 3×1030110202211233 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 103011020221123.

It is not an unprimeable number, because it can be changed into a prime (103011026221123) 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 31 ways as a sum of consecutive naturals, for example, 372589128 + ... + 372865498.

It is an arithmetic number, because the mean of its divisors is an integer number (3878223254640).

Almost surely, 2103011020221123 is an apocalyptic number.

103011020221123 is a deficient number, since it is larger than the sum of its proper divisors (21092123927357).

103011020221123 is a wasteful number, since it uses less digits than its factorization.

103011020221123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280459.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 103011020221123 its reverse (321122020110301), we get a palindrome (424133040331424).

The spelling of 103011020221123 in words is "one hundred three trillion, eleven billion, twenty million, two hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 7 19 133 881 3181 6167 16739 22267 60439 117173 276371 423073 1934597 2802461 5251049 19617227 36757343 53246759 243482851 372727313 879136151 1704379957 4626174169 6153953057 16703586869 32383219183 116925108083 774518949031 5421632643217 14715860031589 103011020221123