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141122100133140 = 223572187725573103
BaseRepresentation
bin100000000101100110001100…
…101001011111110100010100
3200111200010210210121101122120
4200011212030221133310110
5121444121030113230030
61220050333043055540
741503510125040500
oct4005461451376424
9614603723541576
10141122100133140
1140a69601530385
12139b24a99715b0
1360989abcc9c19
1426bc4bb95d300
15114ad9a29a010
hex80598ca5fd14

141122100133140 has 144 divisors (see below), whose sum is σ = 459899746451712. Its totient is φ = 32239293644544.

The previous prime is 141122100133121. The next prime is 141122100133159. The reversal of 141122100133140 is 41331001221141.

It is an interprime number because it is at equal distance from previous prime (141122100133121) and next prime (141122100133159).

It is a self number, because there is not a number n which added to its sum of digits gives 141122100133140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7268172 + ... + 18304931.

It is an arithmetic number, because the mean of its divisors is an integer number (3193748239248).

Almost surely, 2141122100133140 is an apocalyptic number.

141122100133140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141122100133140 is an abundant number, since it is smaller than the sum of its proper divisors (318777646318572).

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

141122100133140 is a wasteful number, since it uses less digits than its factorization.

141122100133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25575006 (or 25574997 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 141122100133140 its reverse (41331001221141), we get a palindrome (182453101354281).

The spelling of 141122100133140 in words is "one hundred forty-one trillion, one hundred twenty-two billion, one hundred million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 1877 2940 3754 5631 7508 9385 11262 13139 18770 22524 26278 28155 37540 39417 52556 56310 65695 78834 91973 112620 131390 157668 183946 197085 262780 275919 367892 394170 459865 551838 788340 919730 1103676 1379595 1839460 2759190 5518380 25573103 51146206 76719309 102292412 127865515 153438618 179011721 255731030 306877236 358023442 383596545 511462060 537035163 716046884 767193090 895058605 1074070326 1253082047 1534386180 1790117210 2148140652 2506164094 2685175815 3580234420 3759246141 5012328188 5370351630 6265410235 7518492282 10740703260 12530820470 15036984564 18796230705 25061640940 37592461410 48000714331 75184922820 96001428662 144002142993 192002857324 240003571655 288004285986 336005000317 480007143310 576008571972 672010000634 720010714965 960014286620 1008015000951 1344020001268 1440021429930 1680025001585 2016030001902 2352035002219 2880042859860 3360050003170 4032060003804 4704070004438 5040075004755 6720100006340 7056105006657 9408140008876 10080150009510 11760175011095 14112210013314 20160300019020 23520350022190 28224420026628 35280525033285 47040700044380 70561050066570 141122100133140