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121023010130121 = 33114147347609397
BaseRepresentation
bin11011100001000111011101…
…100001110100100011001001
3120212111200112122211011221000
4123201013131201310203021
5111330320111043130441
61105221111530205213
734330424003623521
oct3341073541644311
9525450478734830
10121023010130121
113561a630178470
12116a70a1283809
13526b5618c0508
1421c578b480681
15ded14602d2b6
hex6e11dd8748c9

121023010130121 has 128 divisors (see below), whose sum is σ = 205216385310720. Its totient is φ = 69833856499200.

The previous prime is 121023010130081. The next prime is 121023010130137. The reversal of 121023010130121 is 121031010320121.

121023010130121 is a `hidden beast` number, since 1 + 2 + 10 + 230 + 101 + 301 + 21 = 666.

It is not a de Polignac number, because 121023010130121 - 213 = 121023010121929 is a prime.

It is a super-3 number, since 3×1210230101301213 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121023010130094 and 121023010130103.

It is not an unprimeable number, because it can be changed into a prime (121023010134121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 198289995 + ... + 198899391.

It is an arithmetic number, because the mean of its divisors is an integer number (1603253010240).

Almost surely, 2121023010130121 is an apocalyptic number.

121023010130121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121023010130121 is a deficient number, since it is larger than the sum of its proper divisors (84193375180599).

121023010130121 is a wasteful number, since it uses less digits than its factorization.

121023010130121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609852 (or 609846 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121023010130121 its reverse (121031010320121), we get a palindrome (242054020450242).

The spelling of 121023010130121 in words is "one hundred twenty-one trillion, twenty-three billion, ten million, one hundred thirty thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 41 47 99 123 141 297 347 369 423 451 517 1041 1107 1269 1353 1551 1927 3123 3817 4059 4653 5781 9369 11451 12177 13959 14227 16309 17343 21197 34353 42681 48927 52029 63591 103059 128043 146781 156497 179399 190773 384129 440343 469491 538197 572319 609397 668669 1408473 1614591 1828191 2006007 4225419 4843773 5484573 6018021 6703367 7355359 16453719 18054063 20110101 22066077 24985277 28641659 60330303 66198231 74955831 85924977 180990909 198594693 211460759 224867493 257774931 274838047 315058249 634382277 674602479 773324793 824514141 945174747 1174308019 1903146831 2326068349 2473542423 2835524241 3522924057 5709440493 6978205047 7420627269 8506572723 8669891119 9938655673 10568772171 12917388209 20934615141 26009673357 29815967019 31706316513 38752164627 62803845423 78029020071 89447901057 95368802309 109325212403 116256493881 234087060213 268343703171 286106406927 327975637209 348769481643 407484882593 858319220781 983926911627 1222454647779 2574957662343 2951780734881 3667363943337 4482333708523 11002091830011 13447001125569 40341003376707 121023010130121