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31330213029 = 32101157219533
BaseRepresentation
bin11101001011011011…
…010001110010100101
32222212110022201121100
4131023123101302211
51003131013304104
622220511110313
72156251262643
oct351333216245
988773281540
1031330213029
11123180a7845
1260a4512399
132c53b4acbb
141732d92193
15c357d6139
hex74b6d1ca5

31330213029 has 24 divisors (see below), whose sum is σ = 45994129272. Its totient is φ = 20548195200.

The previous prime is 31330213027. The next prime is 31330213037. The reversal of 31330213029 is 92031203313.

31330213029 is a `hidden beast` number, since 3 + 1 + 330 + 21 + 302 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18936512100 + 12393700929 = 137610^2 + 111327^2 .

It is not a de Polignac number, because 31330213029 - 21 = 31330213027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31330212993 and 31330213011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31330213027) 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, 32947 + ... + 252479.

It is an arithmetic number, because the mean of its divisors is an integer number (1916422053).

Almost surely, 231330213029 is an apocalyptic number.

It is an amenable number.

31330213029 is a deficient number, since it is larger than the sum of its proper divisors (14663916243).

31330213029 is a wasteful number, since it uses less digits than its factorization.

31330213029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219797 (or 219794 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 31330213029 in words is "thirty-one billion, three hundred thirty million, two hundred thirteen thousand, twenty-nine".

Divisors: 1 3 9 101 157 303 471 909 1413 15857 47571 142713 219533 658599 1975797 22172833 34466681 66518499 103400043 199555497 310200129 3481134781 10443404343 31330213029