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641224541133 = 331124321011051
BaseRepresentation
bin10010101010010111111…
…01100000001111001101
32021022010001002201122000
421111023331200033031
541001211440304013
61210324031142513
764220066445411
oct11251375401715
92238101081560
10641224541133
11227a3a59a500
12a4334974a39
134860c617607
142306d32cd41
1511a2e0db973
hex954bf603cd

641224541133 has 144 divisors (see below), whose sum is σ = 1080632831040. Its totient is φ = 375467400000.

The previous prime is 641224541131. The next prime is 641224541141. The reversal of 641224541133 is 331145422146.

641224541133 is a `hidden beast` number, since 64 + 1 + 2 + 24 + 541 + 1 + 33 = 666.

It is not a de Polignac number, because 641224541133 - 21 = 641224541131 is a prime.

It is a super-2 number, since 2×6412245411332 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641224541131) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 610108458 + ... + 610109508.

It is an arithmetic number, because the mean of its divisors is an integer number (7504394660).

Almost surely, 2641224541133 is an apocalyptic number.

It is an amenable number.

641224541133 is a deficient number, since it is larger than the sum of its proper divisors (439408289907).

641224541133 is a wasteful number, since it uses less digits than its factorization.

641224541133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1209 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 641224541133 its reverse (331145422146), we get a palindrome (972369963279).

The spelling of 641224541133 in words is "six hundred forty-one billion, two hundred twenty-four million, five hundred forty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 11 27 33 43 99 101 121 129 297 303 363 387 473 909 1051 1089 1111 1161 1419 1849 2727 3153 3267 3333 4257 4343 5203 5547 9459 9999 11561 12221 12771 13029 15609 16641 20339 28377 29997 34683 36663 39087 45193 46827 47773 49923 61017 104049 106151 109989 117261 127171 135579 140481 143319 183051 186749 223729 312147 318453 329967 381513 406737 429957 497123 525503 549153 560247 671187 955359 1144539 1167661 1220211 1289871 1491369 1576509 1680741 1943299 2013561 2054239 2866077 3433617 3502983 4474107 4564493 4729527 5042223 5468353 5829897 6040683 6162717 10508949 12844271 13422321 13693479 14188581 16405059 17489691 18488151 21376289 22596629 31526847 38532813 41080437 49215177 50209423 52469073 55464453 64128867 67789887 115598439 123241311 147645531 150628269 192386601 196273199 203369661 235139179 346795317 451884807 552303653 577159803 588819597 610108983 705417537 1355654421 1656910959 1766458791 2116252611 2159005189 4970732877 5299376373 6348757833 6477015567 14912198631 19431046701 23749057079 58293140103 71247171237 213741513711 641224541133