Search a number
-
+
12300441106221 = 3323531134577237
BaseRepresentation
bin1011001011111110101101…
…1011000011011100101101
31121112220120220000122112000
42302333223123003130231
53103012300410344341
642054424501402513
72406451253203002
oct262775333033455
947486526018460
1012300441106221
113a126513727a4
121467aa8a09439
136b2c07a22c98
143074b75458a9
15164e691b28b6
hexb2feb6c372d

12300441106221 has 128 divisors (see below), whose sum is σ = 19590878039040. Its totient is φ = 7609917579264.

The previous prime is 12300441106199. The next prime is 12300441106223. The reversal of 12300441106221 is 12260114400321.

12300441106221 is a `hidden beast` number, since 1 + 2 + 30 + 0 + 4 + 4 + 1 + 1 + 0 + 622 + 1 = 666.

It is not a de Polignac number, because 12300441106221 - 221 = 12300439009069 is a prime.

It is a super-2 number, since 2×123004411062212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300441106223) 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, 1699656615 + ... + 1699663851.

It is an arithmetic number, because the mean of its divisors is an integer number (153053734680).

Almost surely, 212300441106221 is an apocalyptic number.

It is an amenable number.

12300441106221 is a deficient number, since it is larger than the sum of its proper divisors (7290436932819).

12300441106221 is a wasteful number, since it uses less digits than its factorization.

12300441106221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7892 (or 7886 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12300441106221 its reverse (12260114400321), we get a palindrome (24560555506542).

The spelling of 12300441106221 in words is "twelve trillion, three hundred billion, four hundred forty-one million, one hundred six thousand, two hundred twenty-one".

Divisors: 1 3 9 23 27 53 69 113 159 207 339 457 477 621 1017 1219 1371 1431 2599 3051 3657 4113 5989 7237 7797 10511 10971 12339 17967 21711 23391 24221 31533 32913 51641 53901 65133 70173 72663 94599 137747 154923 161703 166451 195399 217989 283797 383561 413241 464769 499353 557083 653967 817781 1150683 1187743 1239723 1394307 1498059 1671249 2453343 2736973 3307309 3452049 3563229 3719169 4494177 5013747 7360029 8210919 8821903 9921927 10356147 10689687 15041241 18808963 22080087 24632757 26465709 29765781 32069061 43342393 56426889 62950379 73898271 76068107 79397127 89297343 130027179 169280667 175287377 188851137 228204321 238191381 373725917 390081537 507842001 525862131 566553411 684612963 996875039 1121177751 1170244611 1577586393 1699660233 2053838889 2990625117 3363533253 4031609671 4732759179 8595696091 8971875351 10090599759 12094829013 19807473601 25787088273 26915626053 36284487039 59422420803 77361264819 108853461117 178267262409 232083794457 455571892823 534801787227 1366715678469 4100147035407 12300441106221