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10001121310233 = 3329118011082351
BaseRepresentation
bin1001000110001001000101…
…0010000111011000011001
31022102002122100011201022000
42101202101102013120121
52302324244023411413
633134241322351213
72051362052334324
oct221422122073031
938362570151260
1010001121310233
1132064a7283a99
12115634b35b509
1357714255aac1
142680b20177bb
151252435d8073
hex91891487619

10001121310233 has 32 divisors (see below), whose sum is σ = 15328701964800. Its totient is φ = 6436951920000.

The previous prime is 10001121310211. The next prime is 10001121310237. The reversal of 10001121310233 is 33201312110001.

10001121310233 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 121 + 310 + 233 = 666.

It is not a de Polignac number, because 10001121310233 - 221 = 10001119213081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001121310237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8699008 + ... + 9781358.

It is an arithmetic number, because the mean of its divisors is an integer number (479021936400).

Almost surely, 210001121310233 is an apocalyptic number.

It is an amenable number.

10001121310233 is a deficient number, since it is larger than the sum of its proper divisors (5327580654567).

10001121310233 is a wasteful number, since it uses less digits than its factorization.

10001121310233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094190 (or 1094184 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10001121310233 its reverse (33201312110001), we get a palindrome (43202433420234).

The spelling of 10001121310233 in words is "ten trillion, one billion, one hundred twenty-one million, three hundred ten thousand, two hundred thirty-three".

Divisors: 1 3 9 27 29 87 261 783 11801 35403 106209 318627 342229 1026687 1082351 3080061 3247053 9240183 9741159 29223477 31388179 94164537 282493611 847480833 12772824151 38318472453 114955417359 344866252077 370411900379 1111235701137 3333707103411 10001121310233