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130321103003 = 7213271221653
BaseRepresentation
bin111100101011110111…
…1100011100010011011
3110110101022010222010122
41321113233203202123
54113344200244003
6135511345303455
712262323045500
oct1712757434233
9413338128118
10130321103003
11502a5957613
1221310334b8b
13c39b580b00
146443db34a7
1535cb140238
hex1e57be389b

130321103003 has 36 divisors (see below), whose sum is σ = 166469246928. Its totient is φ = 101658473280.

The previous prime is 130321102943. The next prime is 130321103039. The reversal of 130321103003 is 300301123031.

It is not a de Polignac number, because 130321103003 - 210 = 130321101979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130321103203) 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 35 ways as a sum of consecutive naturals, for example, 477125 + ... + 698777.

It is an arithmetic number, because the mean of its divisors is an integer number (4624145748).

Almost surely, 2130321103003 is an apocalyptic number.

130321103003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

130321103003 is a deficient number, since it is larger than the sum of its proper divisors (36148143925).

130321103003 is a wasteful number, since it uses less digits than its factorization.

130321103003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221764 (or 221744 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 130321103003 its reverse (300301123031), we get a palindrome (430622226034).

The spelling of 130321103003 in words is "one hundred thirty billion, three hundred twenty-one million, one hundred three thousand, three".

Divisors: 1 7 13 49 71 91 169 497 637 923 1183 3479 6461 8281 11999 45227 83993 221653 587951 1551571 2881489 10860997 15737363 20170423 37459357 110161541 141192961 204585719 262215499 771130787 1432100033 1835508493 2659614347 10024700231 18617300429 130321103003