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20033200220313 = 37232913751104009
BaseRepresentation
bin1001000111000010101111…
…10010000110100010011001
32121221011012011112110000010
410203201113302012202121
510111210443224022223
6110335043010032133
74135231243156050
oct443412762064231
977834164473003
1020033200220313
11642403a294a45
1222b669a278649
13b24179693a07
144d387d70b397
1524b199903393
hex123857c86899

20033200220313 has 64 divisors (see below), whose sum is σ = 32955160780800. Its totient is φ = 10571373120000.

The previous prime is 20033200220309. The next prime is 20033200220317. The reversal of 20033200220313 is 31302200233002.

It is an interprime number because it is at equal distance from previous prime (20033200220309) and next prime (20033200220317).

It is not a de Polignac number, because 20033200220313 - 22 = 20033200220309 is a prime.

It is a super-2 number, since 2×200332002203132 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20033200220313.

It is not an unprimeable number, because it can be changed into a prime (20033200220317) 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, 192558253 + ... + 192662261.

It is an arithmetic number, because the mean of its divisors is an integer number (514924387200).

Almost surely, 220033200220313 is an apocalyptic number.

20033200220313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20033200220313 is a deficient number, since it is larger than the sum of its proper divisors (12921960560487).

20033200220313 is a wasteful number, since it uses less digits than its factorization.

20033200220313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117822.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 20033200220313 its reverse (31302200233002), we get a palindrome (51335400453315).

The spelling of 20033200220313 in words is "twenty trillion, thirty-three billion, two hundred million, two hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 7 21 23 29 69 87 161 203 483 609 667 2001 4669 13751 14007 41253 96257 104009 288771 312027 316273 398779 728063 948819 1196337 2184189 2213911 2392207 2791453 3016261 6641733 7176621 8374359 9048783 9171917 16745449 21113827 27515751 50236347 63341481 64203419 69374003 192610257 208122009 485618021 1430227759 1456854063 4290683277 10011594313 30034782939 32895238457 41476605011 98685715371 124429815033 230266669199 290336235077 690800007597 871008705231 953961915253 2861885745759 6677733406771 20033200220313