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141143212032100 = 225223218913141073
BaseRepresentation
bin100000000101111001110111…
…000001000000000001100100
3200111202011022010100222112021
4200011321313001000001210
5121444442244240011400
61220104144012232524
741505155241156355
oct4005716701000144
9614664263328467
10141143212032100
1140a77555661563
12139b660016b744
13609a994b60525
1426bd52179dd2c
15114b6d394c71a
hex805e77040064

141143212032100 has 108 divisors (see below), whose sum is σ = 320195504593636. Its totient is φ = 53999382159360.

The previous prime is 141143212032091. The next prime is 141143212032133. The reversal of 141143212032100 is 1230212341141.

141143212032100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 314532532224 + 140828679499876 = 560832^2 + 11867126^2 .

It is a super-2 number, since 2×1411432120321002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1000427164 + ... + 1000568236.

Almost surely, 2141143212032100 is an apocalyptic number.

141143212032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141143212032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160097752296818).

141143212032100 is an abundant number, since it is smaller than the sum of its proper divisors (179052292561536).

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

141143212032100 is a wasteful number, since it uses less digits than its factorization.

141143212032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160046 (or 160016 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 141143212032100 its reverse (1230212341141), we get a palindrome (142373424373241).

The spelling of 141143212032100 in words is "one hundred forty-one trillion, one hundred forty-three billion, two hundred twelve million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 529 575 1058 1150 2116 2300 2645 5290 10580 13225 18913 26450 37826 52900 75652 94565 141073 189130 282146 378260 434999 472825 564292 705365 869998 945650 1410730 1739996 1891300 2174995 2821460 3244679 3526825 4349990 6489358 7053650 8699980 10004977 10874975 12978716 14107300 16223395 20009954 21749950 32446790 40019908 43499900 50024885 64893580 74627617 81116975 100049770 149255234 162233950 200099540 250124425 298510468 324467900 373138085 500248850 746276170 1000497700 1492552340 1865690425 2668113649 3731380850 5336227298 7462761700 10672454596 13340568245 26681136490 53362272980 61366613927 66702841225 122733227854 133405682450 245466455708 266811364900 306833069635 613666139270 1227332278540 1411432120321 1534165348175 2822864240642 3068330696350 5645728481284 6136661392700 7057160601605 14114321203210 28228642406420 35285803008025 70571606016050 141143212032100