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2041413133011 = 37113860266807
BaseRepresentation
bin11101101101001101101…
…101000110001011010011
321020011020120221222112020
4131231031231012023103
5231421303230224021
64201451240102523
7300326056220130
oct35551555061323
97204216858466
102041413133011
1171783854864a
1228b781164a43
1311a673312cc5
1470b3a9cb587
153817daa07c6
hex1db4db462d3

2041413133011 has 16 divisors (see below), whose sum is σ = 3138253315584. Its totient is φ = 1156198587264.

The previous prime is 2041413132893. The next prime is 2041413133021. The reversal of 2041413133011 is 1103313141402.

It is a happy number.

It is not a de Polignac number, because 2041413133011 - 27 = 2041413132883 is a prime.

It is a super-2 number, since 2×20414131330112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2041413133021) 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, 430131031 + ... + 430135776.

It is an arithmetic number, because the mean of its divisors is an integer number (196140832224).

Almost surely, 22041413133011 is an apocalyptic number.

2041413133011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2041413133011 is a deficient number, since it is larger than the sum of its proper divisors (1096840182573).

2041413133011 is a wasteful number, since it uses less digits than its factorization.

2041413133011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860266930.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 2041413133011 its reverse (1103313141402), we get a palindrome (3144726274413).

The spelling of 2041413133011 in words is "two trillion, forty-one billion, four hundred thirteen million, one hundred thirty-three thousand, eleven".

Divisors: 1 3 7 21 113 339 791 2373 860266807 2580800421 6021867649 18065602947 97210149191 291630447573 680471044337 2041413133011