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101220143220131 = 132793775461227
BaseRepresentation
bin10111000000111100100110…
…101011100100010110100011
3111021101112212211001020121012
4113000330212223210112203
5101231342323131021011
6555135520350251135
730214625336323505
oct2700744653442643
9437345784036535
10101220143220131
112a285249053731
12b4291851b6aab
1344630319a2500
141add11c663d75
15ba7e7cab6a8b
hex5c0f26ae45a3

101220143220131 has 12 divisors (see below), whose sum is σ = 109619054699112. Its totient is φ = 93422205167616.

The previous prime is 101220143220047. The next prime is 101220143220149. The reversal of 101220143220131 is 131022341022101.

It is not a de Polignac number, because 101220143220131 - 242 = 96822096709027 is a prime.

It is a super-2 number, since 2×1012201432201312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101220143220097 and 101220143220106.

It is not an unprimeable number, because it can be changed into a prime (101220143220181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36389261 + ... + 39071966.

It is an arithmetic number, because the mean of its divisors is an integer number (9134921224926).

Almost surely, 2101220143220131 is an apocalyptic number.

101220143220131 is a deficient number, since it is larger than the sum of its proper divisors (8398911478981).

101220143220131 is an equidigital number, since it uses as much as digits as its factorization.

101220143220131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75469190 (or 75469177 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 101220143220131 its reverse (131022341022101), we get a palindrome (232242484242232).

The spelling of 101220143220131 in words is "one hundred one trillion, two hundred twenty billion, one hundred forty-three million, two hundred twenty thousand, one hundred thirty-one".

Divisors: 1 13 169 7937 103181 1341353 75461227 980995951 12752947363 598935758699 7786164863087 101220143220131