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10214303121 = 33112910871091
BaseRepresentation
bin10011000001101000…
…11110010110010001
3222100212000100202000
421200310132112101
5131404330144441
64405315544213
7511056100251
oct114064362621
928325010660
1010214303121
114371787130
121b908bb069
13c6a211b59
146cc7c9961
153ebae02b6
hex260d1e591

10214303121 has 64 divisors (see below), whose sum is σ = 17108582400. Its totient is φ = 5966049600.

The previous prime is 10214303093. The next prime is 10214303129. The reversal of 10214303121 is 12130341201.

It is not a de Polignac number, because 10214303121 - 27 = 10214302993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10214303094 and 10214303103.

It is not an unprimeable number, because it can be changed into a prime (10214303129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9361786 + ... + 9362876.

It is an arithmetic number, because the mean of its divisors is an integer number (267321600).

Almost surely, 210214303121 is an apocalyptic number.

10214303121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10214303121 is a deficient number, since it is larger than the sum of its proper divisors (6894279279).

10214303121 is a wasteful number, since it uses less digits than its factorization.

10214303121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10214303121 its reverse (12130341201), we get a palindrome (22344644322).

The spelling of 10214303121 in words is "ten billion, two hundred fourteen million, three hundred three thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 29 33 87 99 261 297 319 783 957 1087 1091 2871 3261 3273 8613 9783 9819 11957 12001 29349 29457 31523 31639 35871 36003 94569 94917 107613 108009 283707 284751 322839 324027 346753 348029 851121 854253 1040259 1044087 1185917 3120777 3132261 3557751 9362331 9396783 10673253 13045087 32019759 34391593 39135261 103174779 117405783 309524337 352217349 378307523 928573011 1134922569 3404767707 10214303121