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12011023233231 = 3112952346575153
BaseRepresentation
bin1010111011001000100011…
…0001011111000011001111
31120112020112212020101000220
42232302020301133003033
53033242033421430411
641313442104122423
72346524231651511
oct256621061370317
946466485211026
1012011023233231
113910934541110
12141b997466413
136918333901b9
142d749d9b9bb1
1515c67aa4db06
hexaec88c5f0cf

12011023233231 has 64 divisors (see below), whose sum is σ = 18114972433920. Its totient is φ = 7012087971840.

The previous prime is 12011023233221. The next prime is 12011023233233. The reversal of 12011023233231 is 13233232011021.

It is not a de Polignac number, because 12011023233231 - 25 = 12011023233199 is a prime.

It is a super-2 number, since 2×120110232332312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011023233233) 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 63 ways as a sum of consecutive naturals, for example, 2330877151 + ... + 2330882303.

It is an arithmetic number, because the mean of its divisors is an integer number (283046444280).

Almost surely, 212011023233231 is an apocalyptic number.

12011023233231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12011023233231 is a deficient number, since it is larger than the sum of its proper divisors (6103949200689).

12011023233231 is a wasteful number, since it uses less digits than its factorization.

12011023233231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10376.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12011023233231 its reverse (13233232011021), we get a palindrome (25244255244252).

The spelling of 12011023233231 in words is "twelve trillion, eleven billion, twenty-three million, two hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 11 29 33 87 319 523 957 1569 4657 5153 5753 13971 15167 15459 17259 45501 51227 56683 135053 149437 153681 166837 170049 405159 448311 500511 1485583 1643807 2435611 2695019 4456749 4931421 7306833 8085057 23997521 26791721 29645209 70632719 71992563 78155551 80375163 88935627 211898157 234466653 263972731 695928109 776959909 791918193 859711061 2087784327 2330879727 2579133183 7655209199 12550703483 22965627597 37652110449 138057738313 363970401007 414173214939 1091911203021 4003674411077 12011023233231