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313321202412141 = 372111917207592681
BaseRepresentation
bin100011100111101101100011…
…0111110000110101001101101
31112002101012210022110021111110
41013033123012332012221231
5312031423310304142031
63030213435011142233
7122665465323633600
oct10717330676065155
91462335708407443
10313321202412141
1190919859549580
122b1838b88a4979
13105aa0a7723b21
145752b81842337
15263530bc85c46
hex11cf6c6f86a6d

313321202412141 has 96 divisors (see below), whose sum is σ = 558082267960320. Its totient is φ = 154188499449600.

The previous prime is 313321202412133. The next prime is 313321202412151. The reversal of 313321202412141 is 141214202123313.

It is not a de Polignac number, because 313321202412141 - 23 = 313321202412133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313321202412099 and 313321202412108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313321202412151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 528354321 + ... + 528947001.

It is an arithmetic number, because the mean of its divisors is an integer number (5813356957920).

Almost surely, 2313321202412141 is an apocalyptic number.

It is an amenable number.

313321202412141 is a deficient number, since it is larger than the sum of its proper divisors (244761065548179).

313321202412141 is a wasteful number, since it uses less digits than its factorization.

313321202412141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609935 (or 609928 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 313321202412141 its reverse (141214202123313), we get a palindrome (454535404535454).

The spelling of 313321202412141 in words is "three hundred thirteen trillion, three hundred twenty-one billion, two hundred two million, four hundred twelve thousand, one hundred forty-one".

Divisors: 1 3 7 11 19 21 33 49 57 77 133 147 209 231 399 539 627 931 1463 1617 2793 4389 10241 17207 30723 51621 120449 189277 326933 361347 567831 592681 843143 980799 1324939 1778043 2288531 2529429 3596263 3974817 4148767 6519491 6865593 9274573 10788789 11260939 12446301 16019717 19558473 25173841 27823719 29041369 33782817 45636437 48059151 75521523 78826573 87124107 123870329 136909311 176216887 236479719 319455059 371610987 528650661 551786011 867092303 958365177 1655358033 2601276909 6069646121 10198261967 18208938363 30594785901 71387833769 112180881637 193766977373 214163501307 336542644911 499714836383 581300932119 785266171459 1356368841611 1499144509149 2131436751103 2355798514377 4069106524833 5496863200213 6394310253309 9494581891277 14920057257721 16490589600639 28483745673831 44760171773163 104440400804047 313321202412141