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241032033102231 = 32724973647316979
BaseRepresentation
bin110110110011011110100100…
…101101100110100110010111
31011121102102210210220200200200
4312303132210231212212113
5223043032100433232411
62212344330512511543
7101524663322120100
oct6663364455464627
91147372723820620
10241032033102231
116a889124aa3118
122304975824b5b3
13a4652b9481627
1443740269c53a7
151ccebe289be56
hexdb37a4b66997

241032033102231 has 72 divisors (see below), whose sum is σ = 405167283733680. Its totient is φ = 137675511477504.

The previous prime is 241032033102169. The next prime is 241032033102233. The reversal of 241032033102231 is 132201330230142.

241032033102231 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 320 + 3 + 3 + 102 + 231 = 666.

It is not a de Polignac number, because 241032033102231 - 218 = 241032032840087 is a prime.

It is a super-2 number, since 2×2410320331022312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241032033102195 and 241032033102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241032033102233) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14195882500 + ... + 14195899478.

It is an arithmetic number, because the mean of its divisors is an integer number (5627323385190).

Almost surely, 2241032033102231 is an apocalyptic number.

241032033102231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

241032033102231 is a deficient number, since it is larger than the sum of its proper divisors (164135250631449).

241032033102231 is a wasteful number, since it uses less digits than its factorization.

241032033102231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28445 (or 28435 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 241032033102231 its reverse (132201330230142), we get a palindrome (373233363332373).

The spelling of 241032033102231 in words is "two hundred forty-one trillion, thirty-two billion, thirty-three million, one hundred two thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 4973 6473 14919 16979 19419 34811 44757 45311 50937 58257 104433 118853 135933 152811 243677 313299 317177 356559 407799 731031 831971 951531 1069677 2193093 2495913 2854593 7487739 32190229 84436567 96570687 109905067 225331603 253309701 289712061 329715201 591055969 675994809 759929103 769335469 989145603 1577321221 1773167907 2027984427 2308006407 4137391783 4731963663 5319503721 5385348283 6924019221 12412175349 14195890989 16156044849 37236526047 48468134547 546557898191 1639673694573 3825905287337 4919021083719 11477715862011 26781337011359 34433147586033 80344011034077 241032033102231