Search a number
-
+
210203031221313 = 313173117449586129
BaseRepresentation
bin101111110010110110110101…
…000000011011010001000001
31000120021012202122220222211020
4233302312311000123101001
5210022431301443040223
62023021534530140053
762163445032615054
oct5762666500332101
91016235678828736
10210203031221313
1160a82672162a49
121b6aa909a21629
13903a0a372c940
1439c9c49646a9b
151947ce36161e3
hexbf2db501b441

210203031221313 has 64 divisors (see below), whose sum is σ = 329913351936000. Its totient is φ = 117812290682880.

The previous prime is 210203031221291. The next prime is 210203031221377. The reversal of 210203031221313 is 313122130302012.

It is not a de Polignac number, because 210203031221313 - 29 = 210203031220801 is a prime.

It is a super-3 number, since 3×2102030312213133 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (210203031221383) 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 63 ways as a sum of consecutive naturals, for example, 358336233 + ... + 358922361.

It is an arithmetic number, because the mean of its divisors is an integer number (5154896124000).

Almost surely, 2210203031221313 is an apocalyptic number.

It is an amenable number.

210203031221313 is a deficient number, since it is larger than the sum of its proper divisors (119710320714687).

210203031221313 is a wasteful number, since it uses less digits than its factorization.

210203031221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603642.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 210203031221313 its reverse (313122130302012), we get a palindrome (523325161523325).

The spelling of 210203031221313 in words is "two hundred ten trillion, two hundred three billion, thirty-one million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 13 17 31 39 51 93 221 403 527 663 1209 1581 6851 17449 20553 52347 226837 296633 540919 586129 680511 889899 1622757 1758387 3856229 7031947 7619677 9195623 9964193 11568687 18169999 21095841 22859031 27586869 29892579 54509997 119543099 129534509 236209987 308889983 358629297 388603527 708629961 926669949 4015569779 10227364921 12046709337 30682094763 132955743973 173865203657 317048312551 398867231919 521595610971 951144937653 2260247647541 4121628063163 5389821313367 6780742942623 12364884189489 16169463940101 70067677073771 210203031221313