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420124105200431 = 192343167133878623
BaseRepresentation
bin101111110000110011100010…
…0000011010101001100101111
32001002112110202020120000121102
41133201213010003111030233
5420031303131412403211
64045310203254153315
7154330651655525102
oct13741470403251457
92032473666500542
10420124105200431
111119566a5855685
123b152a4895283b
13150566c1382118
1475a6188108739
1533885d3570a3b
hex17e19c40d532f

420124105200431 has 32 divisors (see below), whose sum is σ = 475022778531840. Its totient is φ = 369627094023264.

The previous prime is 420124105200407. The next prime is 420124105200439. The reversal of 420124105200431 is 134002501421024.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420124105200431 is a prime.

It is a super-2 number, since 2×4201241052004312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420124105200394 and 420124105200403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420124105200439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63801215 + ... + 70077408.

It is an arithmetic number, because the mean of its divisors is an integer number (14844461829120).

Almost surely, 2420124105200431 is an apocalyptic number.

420124105200431 is a deficient number, since it is larger than the sum of its proper divisors (54898673331409).

420124105200431 is a wasteful number, since it uses less digits than its factorization.

420124105200431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133878875.

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 420124105200431 its reverse (134002501421024), we get a palindrome (554126606621455).

The spelling of 420124105200431 in words is "four hundred twenty trillion, one hundred twenty-four billion, one hundred five million, two hundred thousand, four hundred thirty-one".

Divisors: 1 19 23 43 167 437 817 989 3173 3841 7181 18791 72979 136439 165163 3138097 133878623 2543693837 3079208329 5756780789 22357730041 58504958251 109378834991 132405958147 424796870779 514227790943 961382391763 2515713204793 9770328027917 18266265443497 22111795010549 420124105200431