Search a number
-
+
213311002352635 = 511194321149145821
BaseRepresentation
bin110000100000000101010110…
…100001011001101111111011
31000222021022222111221001001001
4300200011112201121233323
5210424341413100241020
62033401415513505431
762634132330423445
oct6040052641315773
91028238874831031
10213311002352635
1161a70762904760
121bb11127112277
1392041ab315315
143a964440b1495
15199da96c8b50a
hexc20156859bfb

213311002352635 has 128 divisors (see below), whose sum is σ = 302823917383680. Its totient is φ = 142577910720000.

The previous prime is 213311002352633. The next prime is 213311002352653. The reversal of 213311002352635 is 536253200113312.

It is not a de Polignac number, because 213311002352635 - 21 = 213311002352633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213311002352594 and 213311002352603.

It is not an unprimeable number, because it can be changed into a prime (213311002352633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4655288025 + ... + 4655333845.

It is an arithmetic number, because the mean of its divisors is an integer number (2365811854560).

Almost surely, 2213311002352635 is an apocalyptic number.

213311002352635 is a deficient number, since it is larger than the sum of its proper divisors (89512915031045).

213311002352635 is a wasteful number, since it uses less digits than its factorization.

213311002352635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46601.

The product of its (nonzero) digits is 97200, while the sum is 37.

Adding to 213311002352635 its reverse (536253200113312), we get a palindrome (749564202465947).

The spelling of 213311002352635 in words is "two hundred thirteen trillion, three hundred eleven billion, two million, three hundred fifty-two thousand, six hundred thirty-five".

Divisors: 1 5 11 19 43 55 95 209 211 215 473 491 817 1045 1055 2321 2365 2455 4009 4085 5401 8987 9073 9329 11605 20045 21113 27005 44099 44935 45365 45821 46645 99803 102619 103601 105565 172387 220495 229105 232243 401147 499015 504031 513095 518005 861935 870599 1139611 1161215 1896257 1968419 1970303 2005735 2520155 4352995 4412617 4454843 5698055 9481285 9576589 9668231 9842095 9851515 21652609 21673333 22063085 22274215 22498111 37435757 47882945 48341155 49003273 84642017 106350541 108263045 108366665 112490555 183696389 187178785 245016365 247479221 411793327 415733933 423210085 427464109 531752705 918481945 931062187 967418773 1237396105 2020660279 2058966635 2078669665 2137320545 4573073263 4655310935 4702105199 4747101421 4837093865 7898944727 10103301395 10641606503 18380956687 22865366315 23510525995 23735507105 39494723635 52218115631 53208032515 86888391997 90194926999 91904783435 202190523557 204125361103 261090578155 434441959985 450974634995 992144196989 1010952617785 1020626805515 2245378972133 3878381860957 4960720984945 11226894860665 19391909304785 42662200470527 213311002352635