Search a number
-
+
12221043214310 = 2572239711179249
BaseRepresentation
bin1011000111010110111011…
…1100001000011111100110
31121021022122111212211112122
42301311232330020133212
53100212144030324220
641554134133145542
72400640562230400
oct261655674103746
947238574784478
1012221043214310
113991a08324407
12145462a78b2b2
136a8593574458
14303704741b70
15162d6d9cb425
hexb1d6ef087e6

12221043214310 has 96 divisors (see below), whose sum is σ = 26977229496000. Its totient is φ = 3966576058368.

The previous prime is 12221043214151. The next prime is 12221043214327. The reversal of 12221043214310 is 1341234012221.

It is a happy number.

It is a super-2 number, since 2×122210432143102 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12221043214310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4496435 + ... + 6682814.

It is an arithmetic number, because the mean of its divisors is an integer number (281012807250).

Almost surely, 212221043214310 is an apocalyptic number.

12221043214310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12221043214310 is an abundant number, since it is smaller than the sum of its proper divisors (14756186281690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12221043214310 is a wasteful number, since it uses less digits than its factorization.

12221043214310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11179390 (or 11179383 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 12221043214310 its reverse (1341234012221), we get a palindrome (13562277226531).

The spelling of 12221043214310 in words is "twelve trillion, two hundred twenty-one billion, forty-three million, two hundred fourteen thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 23 35 46 49 70 97 98 115 161 194 230 245 322 485 490 679 805 970 1127 1358 1610 2231 2254 3395 4462 4753 5635 6790 9506 11155 11270 15617 22310 23765 31234 47530 78085 109319 156170 218638 546595 1093190 11179249 22358498 55896245 78254743 111792490 156509486 257122727 391273715 514245454 547783201 782547430 1084387153 1095566402 1285613635 1799859089 2168774306 2571227270 2738916005 3599718178 5421935765 5477832010 7590710071 8999295445 10843871530 12599013623 15181420142 17998590890 24940904519 25198027246 37953550355 49881809038 53134970497 62995068115 75907100710 106269940994 124704522595 125990136230 174586331633 249409045190 265674852485 349172663266 531349704970 872931658165 1222104321431 1745863316330 2444208642862 6110521607155 12221043214310