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241125241101020 = 2252392814216532
BaseRepresentation
bin110110110100110101011000…
…010101111001101011011100
31011121202100101122012121211222
4312310311120111321223130
5223101043443210213040
62212455223451432512
7101534503154046563
oct6664653025715334
91147670348177758
10241125241101020
116a914705530181
122306382b455738
13a471021ab3133
144378749990bda
151cd234a6a6bb5
hexdb4d58579adc

241125241101020 has 144 divisors (see below), whose sum is σ = 512287828940160. Its totient is φ = 95331196262400.

The previous prime is 241125241101013. The next prime is 241125241101023. The reversal of 241125241101020 is 20101142521142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241125241101023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369257643014 + ... + 369257643666.

It is an arithmetic number, because the mean of its divisors is an integer number (3557554367640).

Almost surely, 2241125241101020 is an apocalyptic number.

241125241101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241125241101020 is an abundant number, since it is smaller than the sum of its proper divisors (271162587839140).

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

241125241101020 is a wasteful number, since it uses less digits than its factorization.

241125241101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 241125241101020 its reverse (20101142521142), we get a palindrome (261226383622162).

The spelling of 241125241101020 in words is "two hundred forty-one trillion, one hundred twenty-five billion, two hundred forty-one million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 239 281 421 478 562 653 842 956 1124 1195 1306 1405 1684 2105 2390 2612 2810 3265 4210 4780 5620 6530 8420 13060 67159 100619 118301 134318 156067 183493 201238 236602 268636 274913 312134 335795 366986 402476 426409 473204 503095 549826 591505 624268 671590 733972 780335 852818 917465 1006190 1099652 1183010 1343180 1374565 1560670 1705636 1834930 2012380 2132045 2366020 2749130 3121340 3669860 4264090 5498260 8528180 28273939 43854827 56547878 65704207 77250553 87709654 101911751 113095756 119820929 131408414 141369695 154501106 175419308 179518189 203823502 219274135 239641858 262816828 282739390 309002212 328521035 359036378 386252765 407647004 438548270 479283716 509558755 565478780 599104645 657042070 718072756 772505530 877096540 897590945 1019117510 1198209290 1314084140 1545011060 1795181890 2038235020 2396418580 3590363780 18462882167 28637202031 36925764334 42904847171 50444611109 57274404062 73851528668 85809694342 92314410835 100889222218 114548808124 143186010155 171619388684 184628821670 201778444436 214524235855 252223055545 286372020310 369257643340 429048471710 504446111090 572744040620 858096943420 1008892222180 12056262055051 24112524110102 48225048220204 60281310275255 120562620550510 241125241101020