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232133231122001 = 111731179233960119
BaseRepresentation
bin110100110001111110111010…
…110010000001011001010001
31010102220201110000000220202122
4310301332322302001121101
5220411232324131401001
62141412311215024025
766616033603250156
oct6461767262013121
91112821400026678
10232133231122001
1167a681722a4080
1222050b8550b015
139c6b0ba381411
1441474460d622d
151bc84b86a3b1b
hexd31fbac81651

232133231122001 has 64 divisors (see below), whose sum is σ = 279523038412800. Its totient is φ = 190315358054400.

The previous prime is 232133231121973. The next prime is 232133231122027. The reversal of 232133231122001 is 100221132331232.

232133231122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 232133231122001 - 26 = 232133231121937 is a prime.

It is a super-2 number, since 2×2321332311220012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (232133231122031) 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, 241295420 + ... + 242255538.

It is an arithmetic number, because the mean of its divisors is an integer number (4367547475200).

Almost surely, 2232133231122001 is an apocalyptic number.

It is an amenable number.

232133231122001 is a deficient number, since it is larger than the sum of its proper divisors (47389807290799).

232133231122001 is a wasteful number, since it uses less digits than its factorization.

232133231122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960590.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 232133231122001 its reverse (100221132331232), we get a palindrome (332354363453233).

The spelling of 232133231122001 in words is "two hundred thirty-two trillion, one hundred thirty-three billion, two hundred thirty-one million, one hundred twenty-two thousand, one".

Divisors: 1 11 17 31 179 187 233 341 527 1969 2563 3043 3961 5549 5797 7223 33473 41707 43571 61039 79453 94333 122791 458777 709019 960119 1037663 1292917 1350701 7799209 10561309 14222087 16322023 21979589 29763689 171861301 179542253 223707727 241775479 327400579 505982713 1890474311 2460784997 2921642117 3803031359 5327700331 5565809843 6934939537 32138063287 40043683133 41833344949 58604703641 76284334907 90570905627 117893972129 440480514463 680742613261 996279961897 1241354177123 1296833693419 7488168745871 13654895948353 21103021011091 232133231122001