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213203223212031 = 32132711974268441
BaseRepresentation
bin110000011110100000111110…
…011000100110111111111111
31000221220000210012110102000200
4300132200332120212333333
5210421110200120241111
62033240113020454543
762623265424020643
oct6036407630467777
91027800705412020
10213203223212031
1161a29a85341138
121bab42680aa453
1391c6c92c71400
143a9113bc38c23
15199ad89b31256
hexc1e83e626fff

213203223212031 has 36 divisors (see below), whose sum is σ = 338168492893296. Its totient is φ = 129354068188800.

The previous prime is 213203223212003. The next prime is 213203223212059. The reversal of 213203223212031 is 130212322302312.

213203223212031 is a `hidden beast` number, since 2 + 1 + 320 + 322 + 3 + 2 + 12 + 0 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (213203223212003) and next prime (213203223212059).

It is not a de Polignac number, because 213203223212031 - 26 = 213203223211967 is a prime.

It is a super-2 number, since 2×2132032232120312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213203223211986 and 213203223212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213203223216031) 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 35 ways as a sum of consecutive naturals, for example, 987026230 + ... + 987242211.

It is an arithmetic number, because the mean of its divisors is an integer number (9393569247036).

Almost surely, 2213203223212031 is an apocalyptic number.

213203223212031 is a deficient number, since it is larger than the sum of its proper divisors (124965269681265).

213203223212031 is a wasteful number, since it uses less digits than its factorization.

213203223212031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974268544 (or 1974268528 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213203223212031 its reverse (130212322302312), we get a palindrome (343415545514343).

The spelling of 213203223212031 in words is "two hundred thirteen trillion, two hundred three billion, two hundred twenty-three million, two hundred twelve thousand, thirty-one".

Divisors: 1 3 9 13 39 71 117 169 213 507 639 923 1521 2769 8307 11999 35997 107991 1974268441 5922805323 17768415969 25665489733 76996469199 140173059311 230989407597 333651366529 420519177933 1000954099587 1261557533799 1822249771043 3002862298761 5466749313129 16400247939387 23689247023559 71067741070677 213203223212031