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213032320031031 = 3558120113632609
BaseRepresentation
bin110000011100000001110011…
…110000101101100100110111
31000221021200122122222021111020
4300130001303300231210313
5210410310142411443111
62033025410300312223
762605035324655014
oct6034016360554467
91027250578867436
10213032320031031
1161973554a09796
121ba87110b42673
1391b3b27b78ac7
143a86b6825870b
1519966d5d7b906
hexc1c073c2d937

213032320031031 has 16 divisors (see below), whose sum is σ = 284108562033120. Its totient is φ = 141988814991360.

The previous prime is 213032320031009. The next prime is 213032320031053. The reversal of 213032320031031 is 130130023230312.

It is an interprime number because it is at equal distance from previous prime (213032320031009) and next prime (213032320031053).

It is not a de Polignac number, because 213032320031031 - 245 = 177847947942199 is a prime.

It is a super-2 number, since 2×2130323200310312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213032320030992 and 213032320031010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213032320039031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336435655 + ... + 337068263.

It is an arithmetic number, because the mean of its divisors is an integer number (17756785127070).

Almost surely, 2213032320031031 is an apocalyptic number.

213032320031031 is a deficient number, since it is larger than the sum of its proper divisors (71076242002089).

213032320031031 is a wasteful number, since it uses less digits than its factorization.

213032320031031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658306.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 213032320031031 its reverse (130130023230312), we get a palindrome (343162343261343).

The spelling of 213032320031031 in words is "two hundred thirteen trillion, thirty-two billion, three hundred twenty million, thirty-one thousand, thirty-one".

Divisors: 1 3 5581 16743 20113 60339 632609 1897827 112250653 336751959 3530590829 10591772487 12723664817 38170994451 71010773343677 213032320031031