Search a number
-
+
213797221102003 = 711234329368314029
BaseRepresentation
bin110000100111001010001011…
…011010101111000110110011
31001000222210222221021200102111
4300213022023122233012303
5211010323202100231003
62034413030521030151
763014224305541630
oct6047121332570663
91030883887250374
10213797221102003
116213898a6a2620
121bb8b400925357
13923acb7274606
143ab1baacc1187
1519ab552a9ae6d
hexc2728b6af1b3

213797221102003 has 128 divisors (see below), whose sum is σ = 286019902586880. Its totient is φ = 154876742254080.

The previous prime is 213797221102001. The next prime is 213797221102007. The reversal of 213797221102003 is 300201122797312.

It is not a de Polignac number, because 213797221102003 - 21 = 213797221102001 is a prime.

It is a super-2 number, since 2×2137972211020032 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213797221102001) 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, 15239655193 + ... + 15239669221.

It is an arithmetic number, because the mean of its divisors is an integer number (2234530488960).

Almost surely, 2213797221102003 is an apocalyptic number.

213797221102003 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

213797221102003 is a deficient number, since it is larger than the sum of its proper divisors (72222681484877).

213797221102003 is a wasteful number, since it uses less digits than its factorization.

213797221102003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15089.

The product of its (nonzero) digits is 63504, while the sum is 40.

Adding to 213797221102003 its reverse (300201122797312), we get a palindrome (513998343899315).

The spelling of 213797221102003 in words is "two hundred thirteen trillion, seven hundred ninety-seven billion, two hundred twenty-one million, one hundred two thousand, three".

Divisors: 1 7 11 23 43 77 161 253 293 301 473 683 989 1771 2051 3223 3311 4781 6739 6923 7513 10879 12599 14029 15709 22561 29369 47173 52591 74129 76153 88193 98203 109963 138589 154319 172799 200119 205583 289777 322667 323059 518903 603247 675487 970123 1080233 1209593 1400833 2028439 2201309 2258669 2261413 3187547 3549337 4110497 4222729 4602737 4728409 6635717 7430357 8605117 9581807 13874681 15409163 22312829 24845359 28773479 32219159 45215467 46450019 50630107 52012499 60235819 67072649 94541431 94656287 97122767 105399877 152621491 176751371 197917691 220381561 316508269 354410749 412017701 661790017 662594009 737799139 1039955741 1068350437 1237259597 1385423837 1542670927 1944265081 2177094601 2424197171 2807469451 2884123907 4065281533 4532194711 7279690187 9476407123 13609855567 15239662207 16969380197 19652286157 28456970731 30882163961 31725362977 44718096863 64571797373 66334849861 104240478353 120721186393 216175147727 313026678041 452002581611 710289771103 729683348471 845048304751 1327933050323 2776587287039 4972028397721 9295531352261 19436111009273 30542460157429 213797221102003