Search a number
-
+
10233203222121 = 3111729241116113
BaseRepresentation
bin1001010011101001101001…
…1100010110011001101001
31100020021200112020101101020
42110322122130112121221
52320130100011101441
633433022455243053
72104216213130205
oct224723234263151
940207615211336
1010233203222121
113295971492460
12119331b079489
13592caa368a99
1427540ac41b05
1512b2c8328e66
hex94e9a716669

10233203222121 has 48 divisors (see below), whose sum is σ = 15813578664768. Its totient is φ = 5836439347200.

The previous prime is 10233203222101. The next prime is 10233203222153. The reversal of 10233203222121 is 12122230233201.

10233203222121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10233203222121 - 26 = 10233203222057 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10233203222091 and 10233203222100.

It is not an unprimeable number, because it can be changed into a prime (10233203222101) 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, 88073361 + ... + 88189473.

It is an arithmetic number, because the mean of its divisors is an integer number (329449555516).

Almost surely, 210233203222121 is an apocalyptic number.

10233203222121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10233203222121 is a deficient number, since it is larger than the sum of its proper divisors (5580375442647).

10233203222121 is a wasteful number, since it uses less digits than its factorization.

10233203222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125402 (or 125385 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10233203222121 its reverse (12122230233201), we get a palindrome (22355433455322).

The spelling of 10233203222121 in words is "ten trillion, two hundred thirty-three billion, two hundred three million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 11 17 33 51 187 289 561 867 3179 9241 9537 27723 101651 116113 157097 304953 348339 471291 1277243 1728067 1973921 2670649 3831729 5184201 5921763 8011947 21713131 29377139 33556657 65139393 88131417 100669971 369123227 1073000233 1107369681 3219000699 11803002563 18241003961 35409007689 54723011883 200651043571 310097067337 601953130713 930291202011 3411067740707 10233203222121