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130041044021 = 7412717332281
BaseRepresentation
bin111100100011100001…
…1001101110000110101
3110102122210011111102202
41321013003031300311
54112311001402041
6135423502514245
712252352431140
oct1710703156065
9412583144382
10130041044021
1150171863109
1221252595985
13c355545635
146418b11057
1535b176ea9b
hex1e470cdc35

130041044021 has 32 divisors (see below), whose sum is σ = 153080503296. Its totient is φ = 108148608000.

The previous prime is 130041044011. The next prime is 130041044033. The reversal of 130041044021 is 120440140031.

It is a cyclic number.

It is not a de Polignac number, because 130041044021 - 214 = 130041027637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130041043984 and 130041044002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130041044011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57009401 + ... + 57011681.

It is an arithmetic number, because the mean of its divisors is an integer number (4783765728).

Almost surely, 2130041044021 is an apocalyptic number.

It is an amenable number.

130041044021 is a deficient number, since it is larger than the sum of its proper divisors (23039459275).

130041044021 is a wasteful number, since it uses less digits than its factorization.

130041044021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 130041044021 its reverse (120440140031), we get a palindrome (250481184052).

It can be divided in two parts, 1300410 and 44021, that added together give a palindrome (1344431).

The spelling of 130041044021 in words is "one hundred thirty billion, forty-one million, forty-four thousand, twenty-one".

Divisors: 1 7 41 271 287 733 1897 2281 5131 11111 15967 30053 77777 93521 198643 210371 618151 654647 1390501 1671973 4327057 8144363 11703811 25344191 57010541 68550893 177409337 453104683 479856251 3171732781 18577292003 130041044021