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12011023233191 = 1731109383545939
BaseRepresentation
bin1010111011001000100011…
…0001011111000010100111
31120112020112212020100222102
42232302020301133002213
53033242033421430231
641313442104122315
72346524231651423
oct256621061370247
946466485210872
1012011023233191
113910934541084
12141b99746639b
13691833390188
142d749d9b9b83
1515c67aa4dacb
hexaec88c5f0a7

12011023233191 has 32 divisors (see below), whose sum is σ = 13282851225600. Its totient is φ = 10811144701440.

The previous prime is 12011023233169. The next prime is 12011023233197. The reversal of 12011023233191 is 19133232011021.

12011023233191 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12011023233191 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011023233197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21727700 + ... + 22273638.

It is an arithmetic number, because the mean of its divisors is an integer number (415089100800).

Almost surely, 212011023233191 is an apocalyptic number.

12011023233191 is a deficient number, since it is larger than the sum of its proper divisors (1271827992409).

12011023233191 is a wasteful number, since it uses less digits than its factorization.

12011023233191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546479.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 12011023233191 in words is "twelve trillion, eleven billion, twenty-three million, two hundred thirty-three thousand, one hundred ninety-one".

Divisors: 1 17 31 109 383 527 1853 3379 6511 11873 41747 57443 201841 545939 709699 1294157 9280963 16924109 22000669 59507351 209094637 287709853 1011624967 1844727881 3554608829 6481933747 22791315433 31360373977 110192873699 387452362361 706530778423 12011023233191