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102303222332031 = 3273269123197077
BaseRepresentation
bin10111010000101101010011…
…001110011111101001111111
3111102020002111110110211112200
4113100231103032133221333
5101402113444404111111
61001325241310402543
730356110135014000
oct2720552316375177
9442202443424480
10102303222332031
112a662609a6aa86
12b583072200453
1345111c9c96456
141b397067631a7
15bc621ccbb256
hex5d0b5339fa7f

102303222332031 has 48 divisors (see below), whose sum is σ = 172968697512000. Its totient is φ = 58241664073152.

The previous prime is 102303222331957. The next prime is 102303222332111. The reversal of 102303222332031 is 130233222303201.

102303222332031 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 0 + 322 + 2 + 332 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 102303222332031 - 210 = 102303222331007 is a prime.

It is a super-2 number, since 2×1023032223320312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102303222331986 and 102303222332004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102303224332031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60768136 + ... + 62428941.

It is an arithmetic number, because the mean of its divisors is an integer number (3603514531500).

Almost surely, 2102303222332031 is an apocalyptic number.

102303222332031 is a deficient number, since it is larger than the sum of its proper divisors (70665475179969).

102303222332031 is a wasteful number, since it uses less digits than its factorization.

102303222332031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123197373 (or 123197356 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 102303222332031 its reverse (130233222303201), we get a palindrome (232536444635232).

The spelling of 102303222332031 in words is "one hundred two trillion, three hundred three billion, two hundred twenty-two million, three hundred thirty-two thousand, thirty-one".

Divisors: 1 3 7 9 21 49 63 147 269 343 441 807 1029 1883 2421 3087 5649 13181 16947 39543 92267 118629 276801 830403 123197077 369591231 862379539 1108773693 2587138617 6036656773 7761415851 18109970319 33140013713 42256597411 54329910957 99420041139 126769792233 231980095991 298260123417 380309376699 695940287973 1623860671937 2087820863919 4871582015811 11367024703559 14614746047433 34101074110677 102303222332031