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1331102124131 = 13234840791967
BaseRepresentation
bin10011010111101011110…
…111101000100001100011
311201020210210111001200112
4103113223313220201203
5133302044120433011
62455255550041535
7165111644241203
oct23275367504143
94636723431615
101331102124131
114735764a140a
12195b874a92ab
13986a3904ca0
14485d6126403
15249596a458b
hex135ebde8863

1331102124131 has 16 divisors (see below), whose sum is σ = 1495867613184. Its totient is φ = 1175250435744.

The previous prime is 1331102124097. The next prime is 1331102124139. The reversal of 1331102124131 is 1314212011331.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1331102124131 is a prime.

It is a super-2 number, since 2×13311021241312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1331102124097 and 1331102124106.

It is not an unprimeable number, because it can be changed into a prime (1331102124139) 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 15 ways as a sum of consecutive naturals, for example, 14427710 + ... + 14519676.

It is an arithmetic number, because the mean of its divisors is an integer number (93491725824).

Almost surely, 21331102124131 is an apocalyptic number.

1331102124131 is a deficient number, since it is larger than the sum of its proper divisors (164765489053).

1331102124131 is a wasteful number, since it uses less digits than its factorization.

1331102124131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140410.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 1331102124131 its reverse (1314212011331), we get a palindrome (2645314135462).

The spelling of 1331102124131 in words is "one trillion, three hundred thirty-one billion, one hundred two million, one hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 13 23 299 48407 91967 629291 1113361 1195571 2115241 14473693 27498133 4451846569 57874005397 102392471087 1331102124131