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213311031302033 = 71731538991913339
BaseRepresentation
bin110000100000000101011000…
…001111110101011110010001
31000222021100001112101211010222
4300200011120033311132101
5210424341443003131113
62033401422430202425
762634133131455150
oct6040053017653621
91028240045354128
10213311031302033
1161a70778187885
121bb11134953415
1392041b4310042
143a96447c89597
15199da995a8e08
hexc201583f5791

213311031302033 has 128 divisors (see below), whose sum is σ = 274847883264000. Its totient is φ = 161365949521920.

The previous prime is 213311031302021. The next prime is 213311031302081. The reversal of 213311031302033 is 330203130113312.

It is not a de Polignac number, because 213311031302033 - 212 = 213311031297937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213311031301993 and 213311031302011.

It is not an unprimeable number, because it can be changed into a prime (213311031302833) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15991524278 + ... + 15991537616.

It is an arithmetic number, because the mean of its divisors is an integer number (2147249088000).

Almost surely, 2213311031302033 is an apocalyptic number.

It is an amenable number.

213311031302033 is a deficient number, since it is larger than the sum of its proper divisors (61536851961967).

213311031302033 is a wasteful number, since it uses less digits than its factorization.

213311031302033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14455.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 213311031302033 its reverse (330203130113312), we get a palindrome (543514161415345).

The spelling of 213311031302033 in words is "two hundred thirteen trillion, three hundred eleven billion, thirty-one million, three hundred two thousand, thirty-three".

Divisors: 1 7 17 31 53 89 119 217 371 527 623 901 919 1513 1643 2759 3689 4717 6307 6433 10591 11501 13339 15623 19313 27931 28489 33019 46903 48707 80189 81791 93373 109361 146227 195517 199423 226763 328321 340949 413509 484313 561323 572537 706967 828019 1023589 1187171 1390447 1509917 1587341 2485859 2535521 2894563 3390191 4334923 4948769 5796133 7029653 8310197 9733129 10569419 12018439 12258541 17401013 17748647 20181907 21915977 25668589 30344461 36802301 43103857 49207571 62920063 73693691 84129073 85809787 134382613 141273349 153411839 179680123 208395197 257616107 301726999 372571609 380014771 440440441 515855837 625639117 649702673 940678291 1069641071 1091010149 1458766379 1950521953 2284504421 2608001263 2660103397 4379473819 4547918711 6460251107 7487487497 7637071043 11044945441 13653653671 15991530947 18547172533 20140782863 33158873201 33821314619 45221757749 57823537897 77314618087 129830207731 140985480041 232112112407 236749202333 342393308671 404764765279 574962348523 983000144249 1792529674807 2396753160697 4024736439661 6881001009743 12547707723649 30473004471719 213311031302033