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31311130003029 = 3253449314609789
BaseRepresentation
bin1110001111010001100001…
…10010000000011001010101
311002212022111111002221120200
413013220300302000121111
513101000143240044104
6150332045021251113
76411103663466202
oct707506062003125
9132768444087520
1031311130003029
119a81a80675258
123618382103a99
13146181c37aca6
147a3676ba6ca9
1539471adbcb39
hex1c7a30c80655

31311130003029 has 24 divisors (see below), whose sum is σ = 46090790174520. Its totient is φ = 20475676321152.

The previous prime is 31311130003009. The next prime is 31311130003099. The reversal of 31311130003029 is 92030003111313.

31311130003029 is a `hidden beast` number, since 31 + 311 + 13 + 0 + 0 + 0 + 302 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8835964326225 + 22475165676804 = 2972535^2 + 4740798^2 .

It is not a de Polignac number, because 31311130003029 - 28 = 31311130002773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31311130002993 and 31311130003011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31311130003009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5161734 + ... + 9448055.

It is an arithmetic number, because the mean of its divisors is an integer number (1920449590605).

Almost surely, 231311130003029 is an apocalyptic number.

It is an amenable number.

31311130003029 is a deficient number, since it is larger than the sum of its proper divisors (14779660171491).

31311130003029 is a wasteful number, since it uses less digits than its factorization.

31311130003029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14614341 (or 14614338 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 31311130003029 in words is "thirty-one trillion, three hundred eleven billion, one hundred thirty million, three thousand, twenty-nine".

Divisors: 1 3 9 53 159 477 4493 13479 40437 238129 714387 2143161 14609789 43829367 131488101 774318817 2322956451 6968869353 65641781977 196925345931 590776037793 3479014444781 10437043334343 31311130003029