Search a number
-
+
12301141123414 = 2113135922327017
BaseRepresentation
bin1011001100000001010100…
…1001011010000101010110
31121112222101200020012120201
42303000111021122011112
53103020214111422124
642055022145251114
72406504513225313
oct263002511320526
947488350205521
1012301141123414
113a12980524000
121468063333a9a
136b2cb9a6a140
143075424c5d0a
15164eaa88a144
hexb301525a156

12301141123414 has 128 divisors (see below), whose sum is σ = 22327640616960. Its totient is φ = 5050898392320.

The previous prime is 12301141123409. The next prime is 12301141123417. The reversal of 12301141123414 is 41432114110321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301141123417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 455297634 + ... + 455324650.

It is an arithmetic number, because the mean of its divisors is an integer number (174434692320).

Almost surely, 212301141123414 is an apocalyptic number.

12301141123414 is a deficient number, since it is larger than the sum of its proper divisors (10026499493546).

12301141123414 is a wasteful number, since it uses less digits than its factorization.

12301141123414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27347 (or 27325 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 12301141123414 its reverse (41432114110321), we get a palindrome (53733255233735).

The spelling of 12301141123414 in words is "twelve trillion, three hundred one billion, one hundred forty-one million, one hundred twenty-three thousand, four hundred fourteen".

Divisors: 1 2 11 13 22 26 59 118 121 143 223 242 286 446 649 767 1298 1331 1534 1573 2453 2662 2899 3146 4906 5798 7139 8437 13157 14278 16874 17303 26314 26983 27017 31889 34606 53966 54034 63778 78529 92807 144727 157058 171041 185614 289454 296813 297187 342082 350779 351221 593626 594374 701558 702442 1020877 1591997 1594003 1881451 2041754 3183994 3188006 3269057 3762902 3858569 3863431 6024791 6538114 7717138 7726862 12049582 17511967 17534033 20695961 20722039 35023934 35068066 35959627 41391922 41444078 42497741 66272701 71919254 78322283 84995482 132545402 156644566 192874363 227655571 227942429 355462669 385748726 455311142 455884858 467475151 710925338 728999711 861545113 934950302 1457999422 1723090226 2121617993 2507366719 3910089359 4243235986 4621014697 5014733438 7820178718 8018996821 9242029394 9476996243 16037993642 18953992486 27581033909 43010982949 50831161667 55162067818 86021965898 101662323334 104246958673 208493917346 473120812439 559142778337 946241624878 1118285556674 6150570561707 12301141123414