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23132014122141 = 348380910634001
BaseRepresentation
bin1010100001001110101110…
…11111000001010010011101
310000220101202211121000220000
411100213113133001102131
511012443331103402031
6121110411154244513
74605142605553401
oct520472737012235
9100811684530800
1023132014122141
117409260a156a1
122717180886739
13cba4550686c2
1459d849d13101
152a1ab41903e6
hex1509d77c149d

23132014122141 has 80 divisors (see below), whose sum is σ = 35056486523520. Its totient is φ = 15198596352000.

The previous prime is 23132014122083. The next prime is 23132014122169. The reversal of 23132014122141 is 14122141023132.

23132014122141 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 201 + 412 + 2 + 1 + 41 = 666.

It is not a de Polignac number, because 23132014122141 - 226 = 23131947013277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132014122541) 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 79 ways as a sum of consecutive naturals, for example, 5781556141 + ... + 5781560141.

It is an arithmetic number, because the mean of its divisors is an integer number (438206081544).

Almost surely, 223132014122141 is an apocalyptic number.

It is an amenable number.

23132014122141 is a deficient number, since it is larger than the sum of its proper divisors (11924472401379).

23132014122141 is a wasteful number, since it uses less digits than its factorization.

23132014122141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5968 (or 5959 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 23132014122141 its reverse (14122141023132), we get a palindrome (37254155145273).

The spelling of 23132014122141 in words is "twenty-three trillion, one hundred thirty-two billion, fourteen million, one hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 83 249 747 809 1063 2241 2427 3189 4001 6723 7281 9567 12003 21843 28701 36009 65529 67147 86103 88229 108027 201441 264687 324081 332083 604323 794061 859967 996249 1812969 2382183 2579901 2988747 3236809 4253063 5438907 7146549 7739703 8966241 9710427 12759189 23219109 26898723 29131281 38277567 69657327 71377261 87393843 114832701 214131783 262181529 268655147 344498103 353004229 642395349 805965441 1059012687 1927186047 2417896323 3177038061 3440727967 5781558141 7253688969 9531114183 10322183901 21761066907 28593342549 30966551703 92899655109 278698965327 285580421261 856741263783 2570223791349 7710671374047 23132014122141