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101220143220141 = 31117595215869679
BaseRepresentation
bin10111000000111100100110…
…101011100100010110101101
3111021101112212211001020121120
4113000330212223210112231
5101231342323131021031
6555135520350251153
730214625336323521
oct2700744653442655
9437345784036546
10101220143220141
112a285249053740
12b4291851b6ab9
1344630319a250a
141add11c663d81
15ba7e7cab6a96
hex5c0f26ae45ad

101220143220141 has 64 divisors (see below), whose sum is σ = 158836358246400. Its totient is φ = 56649436313600.

The previous prime is 101220143220047. The next prime is 101220143220149. The reversal of 101220143220141 is 141022341022101.

It is a cyclic number.

It is not a de Polignac number, because 101220143220141 - 213 = 101220143211949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220143220149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14309740 + ... + 20179418.

It is an arithmetic number, because the mean of its divisors is an integer number (2481818097600).

Almost surely, 2101220143220141 is an apocalyptic number.

101220143220141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101220143220141 is a deficient number, since it is larger than the sum of its proper divisors (57616215026259).

101220143220141 is a wasteful number, since it uses less digits than its factorization.

101220143220141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870290.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101220143220141 its reverse (141022341022101), we get a palindrome (242242484242242).

The spelling of 101220143220141 in words is "one hundred one trillion, two hundred twenty billion, one hundred forty-three million, two hundred twenty thousand, one hundred forty-one".

Divisors: 1 3 11 17 33 51 59 177 187 521 561 649 1003 1563 1947 3009 5731 8857 11033 17193 26571 30739 33099 92217 97427 292281 338129 522563 1014387 1567689 5748193 5869679 17244579 17609037 64566469 99784543 193699407 299353629 346311061 1038933183 1097629973 3058102759 3292889919 3809421671 5887288037 9174308277 11428265013 17661864111 33639130349 51987746903 64760168407 100917391047 155963240709 180428062781 194280505221 541284188343 571865215933 1715595647799 1984708690591 3067277067277 5954126071773 9201831201831 33740047740047 101220143220141