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2106261421143 = 311253671634011
BaseRepresentation
bin11110101001100110111…
…101101011110001010111
321110100121222110100021120
4132221212331223301113
5234002110410434033
64251334140015023
7305113056452505
oct36514675536127
97410558410246
102106261421143
11742295731300
122a025a831473
13123809350929
1473d2d32d675
1539bc6c8d1b3
hex1ea66f6bc57

2106261421143 has 48 divisors (see below), whose sum is σ = 3192048978048. Its totient is φ = 1233742910400.

The previous prime is 2106261421123. The next prime is 2106261421151. The reversal of 2106261421143 is 3411241626012.

It is a happy number.

It is not a de Polignac number, because 2106261421143 - 224 = 2106244643927 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106261421123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472008 + ... + 2106018.

It is an arithmetic number, because the mean of its divisors is an integer number (66501020376).

Almost surely, 22106261421143 is an apocalyptic number.

2106261421143 is a deficient number, since it is larger than the sum of its proper divisors (1085787556905).

2106261421143 is a wasteful number, since it uses less digits than its factorization.

2106261421143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634156 (or 1634145 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 2106261421143 in words is "two trillion, one hundred six billion, two hundred sixty-one million, four hundred twenty-one thousand, one hundred forty-three".

Divisors: 1 3 11 33 53 67 121 159 201 363 583 737 1749 2211 3551 6413 8107 10653 19239 24321 39061 117183 429671 1289013 1634011 4902033 17974121 53922363 86602583 109478737 197715331 259807749 328436211 593145993 952628413 1204266107 2857885239 3612798321 5802373061 10478912543 13246927177 17407119183 31436737629 39740781531 63826103671 191478311013 702087140381 2106261421143