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20331203213313 = 3361419139921059
BaseRepresentation
bin1001001111101101110100…
…01001010011100000000001
32122222122101111202000011000
410213312322021103200001
510131101301010311223
6111124005324242213
74165611111623526
oct447667211234001
978878344660130
1020331203213313
1165294621a9333
1223443a69a0369
13b462bb855675
1450406d53314d
15253cdbae1543
hex127dba253801

20331203213313 has 64 divisors (see below), whose sum is σ = 30710534400000. Its totient is φ = 13289980080960.

The previous prime is 20331203213257. The next prime is 20331203213371. The reversal of 20331203213313 is 31331230213302.

20331203213313 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 1 + 2 + 0 + 321 + 331 + 3 = 666.

It is not a de Polignac number, because 20331203213313 - 214 = 20331203196929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20331203213413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 965429578 + ... + 965450636.

It is an arithmetic number, because the mean of its divisors is an integer number (479852100000).

Almost surely, 220331203213313 is an apocalyptic number.

It is an amenable number.

20331203213313 is a deficient number, since it is larger than the sum of its proper divisors (10379331186687).

20331203213313 is a wasteful number, since it uses less digits than its factorization.

20331203213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22947 (or 22941 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 20331203213313 its reverse (31331230213302), we get a palindrome (51662433426615).

The spelling of 20331203213313 in words is "twenty trillion, three hundred thirty-one billion, two hundred three million, two hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 9 27 61 183 419 549 1257 1399 1647 3771 4197 11313 12591 21059 25559 37773 63177 76677 85339 189531 230031 256017 568593 586181 690093 768051 1284599 1758543 2304153 3853797 5275629 8823721 11561391 15826887 26471163 29461541 34684173 35757041 79413489 88384623 107271123 238240467 265153869 321813369 538246981 795461607 965440107 1614740943 1797154001 4844222829 5391462003 12344385679 14532668487 16174386009 37033157037 48523158027 111099471111 333298413333 753007526419 2259022579257 6777067737771 20331203213313