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31203330213 = 31123372394649
BaseRepresentation
bin11101000011110111…
…010000100010100101
32222112121120102002210
4131003313100202211
51002401023031323
622200135354033
72153150634126
oct350367204245
988477512083
1031203330213
1112262514910
126069b22919
132c33784303
1417201a404d
15c295c1293
hex743dd08a5

31203330213 has 64 divisors (see below), whose sum is σ = 48854016000. Its totient is φ = 17522588160.

The previous prime is 31203330161. The next prime is 31203330217.

31203330213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31203330213 - 214 = 31203313829 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31203330213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31203330217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6709513 + ... + 6714161.

It is an arithmetic number, because the mean of its divisors is an integer number (763344000).

Almost surely, 231203330213 is an apocalyptic number.

31203330213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31203330213 is a deficient number, since it is larger than the sum of its proper divisors (17650685787).

31203330213 is a wasteful number, since it uses less digits than its factorization.

31203330213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962.

The product of its (nonzero) digits is 972, while the sum is 21.

It can be divided in two parts, 3120 and 3330213, that added together give a palindrome (3333333).

The spelling of 31203330213 in words is "thirty-one billion, two hundred three million, three hundred thirty thousand, two hundred thirteen".

Divisors: 1 3 11 23 33 37 69 111 239 253 407 717 759 851 1221 2553 2629 4649 5497 7887 8843 9361 13947 16491 26529 28083 51139 60467 97273 106927 153417 172013 181401 203389 291819 320781 516039 610167 1111111 1176197 1892143 2237279 3333333 3528591 3956299 5676429 6711837 11868897 12222221 25555553 36666663 41111107 43519289 76666659 123333321 130557867 281111083 452222177 843333249 945555461 1356666531 2836666383 10401110071 31203330213