Search a number
-
+
12116511150513 = 371123109172312143
BaseRepresentation
bin1011000001010001100001…
…0101111101000110110001
31120220022211111100210112020
42300110120111331012301
53042004103323304023
641434125352222053
72360250304316040
oct260243025750661
946808744323466
1012116511150513
113951646738740
12143831709a929
1369b774b42a73
142dc62982a557
151602a196cde3
hexb051857d1b1

12116511150513 has 128 divisors (see below), whose sum is σ = 21224338882560. Its totient is φ = 5961438362880.

The previous prime is 12116511150511. The next prime is 12116511150521. The reversal of 12116511150513 is 31505111561121.

It is not a de Polignac number, because 12116511150513 - 21 = 12116511150511 is a prime.

It is a super-3 number, since 3×121165111505133 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12116511150511) 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, 997812520 + ... + 997824662.

It is an arithmetic number, because the mean of its divisors is an integer number (165815147520).

Almost surely, 212116511150513 is an apocalyptic number.

It is an amenable number.

12116511150513 is a deficient number, since it is larger than the sum of its proper divisors (9107827732047).

12116511150513 is a wasteful number, since it uses less digits than its factorization.

12116511150513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14019.

The product of its (nonzero) digits is 4500, while the sum is 33.

The spelling of 12116511150513 in words is "twelve trillion, one hundred sixteen billion, five hundred eleven million, one hundred fifty thousand, five hundred thirteen".

Divisors: 1 3 7 11 21 23 33 69 77 109 161 231 253 327 483 759 763 1199 1723 1771 2289 2507 3597 5169 5313 7521 8393 12061 12143 17549 18953 25179 27577 36183 36429 39629 52647 56859 82731 85001 118887 132671 133573 187807 193039 255003 277403 279289 398013 400719 435919 563421 579117 832209 837867 935011 1307757 1314649 1323587 1955023 2065877 2805033 3051433 3072179 3943947 3970761 4319561 5865069 6197631 9154299 9216537 9265109 12958683 14461139 14559457 20922389 21505253 27795327 30236927 30442501 43383417 43678371 47515171 62767167 64515759 90710781 91327503 101916199 142545513 146456723 213097507 230146279 305748597 332606197 334867511 439370169 481214947 639292521 690438837 997818591 1004602533 1443644841 1611023953 2280540401 2344072577 3368504629 4833071859 5293364417 6841621203 7032217731 10105513887 15880093251 15963782807 25085944411 37053550919 47891348421 52452429223 75257833233 111160652757 157357287669 175601610877 367167004561 526804832631 576976721453 1101501013683 1730930164359 4038837050171 12116511150513