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42103123023213 = 32721938923895407
BaseRepresentation
bin10011001001010111001011…
…01100010001010101101101
312112002000112000221012222200
421210223211230101111231
521004304143443220323
6225313524021332113
711603564431555200
oct1144534554212555
9175060460835880
1042103123023213
111246291a35857a
12487ba4a867039
131a653cc667aa5
14a57b32a97937
154d02eb1c9443
hex264ae5b1156d

42103123023213 has 144 divisors (see below), whose sum is σ = 74704608576000. Its totient is φ = 22720356175104.

The previous prime is 42103123023209. The next prime is 42103123023217. The reversal of 42103123023213 is 31232032130124.

42103123023213 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 31 + 2 + 302 + 321 + 3 = 666.

42103123023213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42103123023209) and next prime (42103123023217).

It is not a de Polignac number, because 42103123023213 - 22 = 42103123023209 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42103123023217) 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 143 ways as a sum of consecutive naturals, for example, 7786777956 + ... + 7786783362.

It is an arithmetic number, because the mean of its divisors is an integer number (518782004000).

Almost surely, 242103123023213 is an apocalyptic number.

It is an amenable number.

42103123023213 is a deficient number, since it is larger than the sum of its proper divisors (32601485552787).

42103123023213 is a wasteful number, since it uses less digits than its factorization.

42103123023213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8224 (or 8214 counting only the distinct ones).

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

Adding to 42103123023213 its reverse (31232032130124), we get a palindrome (73335155153337).

The spelling of 42103123023213 in words is "forty-two trillion, one hundred three billion, one hundred twenty-three million, twenty-three thousand, two hundred thirteen".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 389 399 441 931 1167 1197 2389 2723 2793 3501 5407 7167 7391 8169 8379 16221 16723 19061 21501 22173 24507 37849 45391 48663 50169 51737 57183 66519 102733 113547 117061 136173 150507 155211 171549 264943 308199 317737 340641 351183 362159 408519 465633 719131 794829 924597 929321 953211 1053549 1086477 2103323 2157393 2224159 2384487 2787963 2859633 3259431 5033917 6309969 6472179 6505247 6672477 8363889 12917323 14723261 15101751 17657099 18929907 19515741 20017431 38751969 39963137 44169783 45305253 45536729 52971297 58547223 90421261 103062827 116255907 119889411 123599693 132509349 136610187 158913891 245429137 271263783 279741959 309188481 359668233 370799079 409830561 632948827 736287411 813791349 839225877 865197851 927565443 1112397237 1718003959 1898846481 1958193713 2208862233 2517677631 2595593553 5024838647 5154011877 5696539443 5874581139 7786780659 12026027713 15074515941 15462035631 17623743417 35173870529 36078083139 45223547823 95471934293 105521611587 108234249417 246217093703 286415802879 316564834761 668303540051 738651281109 859247408637 2004910620153 2215953843327 4678124780357 6014731860459 14034374341071 42103123023213