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20130441142441 = 731531750320941
BaseRepresentation
bin1001001001110111110111…
…10010110010000010101001
32122021110012001111002221111
410210323323302302002221
510114304120413024231
6110451444052310321
74145243045314540
oct444737362620251
978243161432844
1020130441142441
1164612aa252aa3
1223114b80123a1
13b303a56a36a6
144d846615b157
1524d98b7d84b1
hex124efbcb20a9

20130441142441 has 16 divisors (see below), whose sum is σ = 24196436702208. Its totient is φ = 16383003998400.

The previous prime is 20130441142439. The next prime is 20130441142459. The reversal of 20130441142441 is 14424114403102.

It is a cyclic number.

It is not a de Polignac number, because 20130441142441 - 21 = 20130441142439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20130441142481) 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, 875148970 + ... + 875171971.

It is an arithmetic number, because the mean of its divisors is an integer number (1512277293888).

Almost surely, 220130441142441 is an apocalyptic number.

It is an amenable number.

20130441142441 is a deficient number, since it is larger than the sum of its proper divisors (4065995559767).

20130441142441 is a wasteful number, since it uses less digits than its factorization.

20130441142441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750321032.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 20130441142441 its reverse (14424114403102), we get a palindrome (34554555545543).

The spelling of 20130441142441 in words is "twenty trillion, one hundred thirty billion, four hundred forty-one million, one hundred forty-two thousand, four hundred forty-one".

Divisors: 1 7 31 53 217 371 1643 11501 1750320941 12252246587 54259949171 92767009873 379819644197 649369069111 2875777306063 20130441142441