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200100142431 = 32728120635479
BaseRepresentation
bin1011101001011011100…
…1011101110101011111
3201010111022201110002100
42322112321131311133
511234301114024211
6231531424300143
720312445101310
oct2722671356537
9633438643070
10200100142431
117795334a742
1232945171653
1315b3bcb2757
14998350c607
155312156156
hex2e96e5dd5f

200100142431 has 48 divisors (see below), whose sum is σ = 331720796160. Its totient is φ = 113860010880.

The previous prime is 200100142381. The next prime is 200100142441. The reversal of 200100142431 is 134241001002.

200100142431 is a `hidden beast` number, since 200 + 10 + 0 + 1 + 424 + 31 = 666.

It is not a de Polignac number, because 200100142431 - 217 = 200100011359 is a prime.

It is a super-2 number, since 2×2001001424312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200100142441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36518550 + ... + 36524028.

It is an arithmetic number, because the mean of its divisors is an integer number (6910849920).

Almost surely, 2200100142431 is an apocalyptic number.

200100142431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

200100142431 is a deficient number, since it is larger than the sum of its proper divisors (131620653729).

200100142431 is a wasteful number, since it uses less digits than its factorization.

200100142431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7836 (or 7833 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 200100142431 its reverse (134241001002), we get a palindrome (334341143433).

The spelling of 200100142431 in words is "two hundred billion, one hundred million, one hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 281 843 1967 2063 2529 5479 5901 6189 14441 16437 17703 18567 38353 43323 49311 115059 129969 345177 579703 1539599 1739109 4057921 4618797 5217327 10777193 11303177 12173763 13856391 32331579 33909531 36521289 79122239 96994737 101728593 237366717 712100151 3176192737 9528578211 22233349159 28585734633 66700047477 200100142431