Search a number
-
+
213410234552515 = 572112133714966447
BaseRepresentation
bin110000100001100001110001…
…001110001101000011000011
31000222121211010011211002112021
4300201201301032031003003
5210433003130021140030
62033515150332142311
762644244362255600
oct6041416116150303
91028554104732467
10213410234552515
1161aa98548a2200
121bb283bb907997
139210663a37260
143a9b1791896a7
1519a14538ae97a
hexc2187138d0c3

213410234552515 has 144 divisors (see below), whose sum is σ = 362166370183296. Its totient is φ = 119482526338560.

The previous prime is 213410234552257. The next prime is 213410234552519. The reversal of 213410234552515 is 515255432014312.

It is not a de Polignac number, because 213410234552515 - 215 = 213410234519747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213410234552519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6776022 + ... + 21742468.

It is an arithmetic number, because the mean of its divisors is an integer number (2515044237384).

Almost surely, 2213410234552515 is an apocalyptic number.

213410234552515 is a deficient number, since it is larger than the sum of its proper divisors (148756135630781).

213410234552515 is a wasteful number, since it uses less digits than its factorization.

213410234552515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14966538 (or 14966520 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 43.

Adding to 213410234552515 its reverse (515255432014312), we get a palindrome (728665666566827).

The spelling of 213410234552515 in words is "two hundred thirteen trillion, four hundred ten billion, two hundred thirty-four million, five hundred fifty-two thousand, five hundred fifteen".

Divisors: 1 5 7 11 13 35 37 49 55 65 77 91 121 143 185 245 259 385 407 455 481 539 605 637 715 847 1001 1295 1573 1813 2035 2405 2695 2849 3185 3367 4235 4477 5005 5291 5929 7007 7865 9065 11011 14245 16835 19943 22385 23569 26455 29645 31339 35035 37037 55055 58201 77077 99715 117845 156695 185185 219373 259259 291005 385385 407407 1096865 1296295 2037035 2851849 14259245 14966447 74832235 104765129 164630917 194563811 523825645 553758539 733355903 823154585 972819055 1152416419 1361946677 1810940087 2140201921 2768792695 3666779515 3876309773 5762082095 6091343929 6809733385 7198861007 8066914933 9054700435 9533626739 10701009605 12676580609 14981413447 19381548865 23542221131 27134168411 30456719645 35994305035 40334574665 42639407503 47668133695 50392027049 63382903045 67004783219 74907067235 79187471077 88736064263 104869894129 117711105655 135670842055 164795547917 213197037515 251960135245 298475852521 335023916095 352744189343 395937355385 443680321315 469033482533 524349470645 554312297539 823977739585 871062181847 1153568835419 1492379262605 1763720946715 2345167412665 2771561487695 3283234377731 3880186082773 4355310909235 5767844177095 6097435272929 16416171888655 19400930413865 30487176364645 42682046910503 213410234552515