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2041202101041 = 327379222117707
BaseRepresentation
bin11101101101000001001…
…000000100101100110001
321020010200212212110002100
4131231001020010230301
5231420340214213131
64201414301011013
7300320614404435
oct35550110045461
97203625773070
102041202101041
1171773a410164
1228b722553a69
1311a63b69550c
1470b1a9769c5
153816a2b77e6
hex1db41204b31

2041202101041 has 48 divisors (see below), whose sum is σ = 3028158664960. Its totient is φ = 1324499454720.

The previous prime is 2041202101027. The next prime is 2041202101069. The reversal of 2041202101041 is 1401012021402.

2041202101041 is a `hidden beast` number, since 2 + 0 + 412 + 0 + 210 + 1 + 0 + 41 = 666.

It is not a de Polignac number, because 2041202101041 - 29 = 2041202100529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2041202101021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115267710 + ... + 115285416.

Almost surely, 22041202101041 is an apocalyptic number.

It is an amenable number.

2041202101041 is a deficient number, since it is larger than the sum of its proper divisors (986956563919).

2041202101041 is a wasteful number, since it uses less digits than its factorization.

2041202101041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20086 (or 20083 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2041202101041 its reverse (1401012021402), we get a palindrome (3442214122443).

The spelling of 2041202101041 in words is "two trillion, forty-one billion, two hundred two million, one hundred one thousand, forty-one".

Divisors: 1 3 9 73 79 219 237 657 711 2221 5767 6663 17301 17707 19989 51903 53121 159363 162133 175459 486399 526377 1292611 1398853 1459197 1579131 3877833 4196559 11633499 12589677 12808507 38425521 39327247 102116269 115276563 117981741 306348807 353945223 919046421 2870889031 3106852513 8612667093 9320557539 25838001279 27961672617 226800233449 680400700347 2041202101041