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4312243102041 = 3575347832497
BaseRepresentation
bin111110110000000101101…
…101111110000101011001
3120021020122122011202100000
4332300011231332011121
51031122433213231131
613101003411203213
7623356255404510
oct76600555760531
916236578152300
104312243102041
1114128a28a1716
125978a95a6509
13253848257904
1410c9dc4a1677
1577288409ce6
hex3ec05b7e159

4312243102041 has 48 divisors (see below), whose sum is σ = 7521564645504. Its totient is φ = 2417645677824.

The previous prime is 4312243102021. The next prime is 4312243102049. The reversal of 4312243102041 is 1402013422134.

4312243102041 is a `hidden beast` number, since 4 + 3 + 1 + 22 + 431 + 0 + 204 + 1 = 666.

It is not a de Polignac number, because 4312243102041 - 26 = 4312243101977 is a prime.

It is a super-2 number, since 2×43122431020412 (a number of 26 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4312243101996 and 4312243102014.

It is not an unprimeable number, because it can be changed into a prime (4312243102049) 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 47 ways as a sum of consecutive naturals, for example, 23826096 + ... + 24006401.

It is an arithmetic number, because the mean of its divisors is an integer number (156699263448).

Almost surely, 24312243102041 is an apocalyptic number.

It is an amenable number.

4312243102041 is a deficient number, since it is larger than the sum of its proper divisors (3209321543463).

4312243102041 is an equidigital number, since it uses as much as digits as its factorization.

4312243102041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47832572 (or 47832560 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4312243102041 its reverse (1402013422134), we get a palindrome (5714256524175).

The spelling of 4312243102041 in words is "four trillion, three hundred twelve billion, two hundred forty-three million, one hundred two thousand, forty-one".

Divisors: 1 3 7 9 21 27 53 63 81 159 189 243 371 477 567 1113 1431 1701 3339 4293 10017 12879 30051 90153 47832497 143497491 334827479 430492473 1004482437 1291477419 2535122341 3013447311 3874432257 7605367023 9040341933 11623296771 17745856387 22816101069 27121025799 53237569161 68448303207 81363077397 159712707483 205344909621 479138122449 616034728863 1437414367347 4312243102041