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10130221312003 = 131954182979137
BaseRepresentation
bin1001001101101010000000…
…1111100010100000000011
31022212102212112121022110001
42103122200033202200003
52311433143123441003
633313432011420431
72063612220261202
oct223324017424003
938772775538401
1010130221312003
113256225922131
12117737a754717
13586377b399b0
1427043bb67239
1512879c42061d
hex936a03e2803

10130221312003 has 32 divisors (see below), whose sum is σ = 11507524338240. Its totient is φ = 8840408739840.

The previous prime is 10130221311997. The next prime is 10130221312027. The reversal of 10130221312003 is 30021312203101.

It is a cyclic number.

It is not a de Polignac number, because 10130221312003 - 29 = 10130221311491 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10130221312073) 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 31 ways as a sum of consecutive naturals, for example, 1108698651 + ... + 1108707787.

It is an arithmetic number, because the mean of its divisors is an integer number (359610135570).

Almost surely, 210130221312003 is an apocalyptic number.

10130221312003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10130221312003 is a deficient number, since it is larger than the sum of its proper divisors (1377303026237).

10130221312003 is a wasteful number, since it uses less digits than its factorization.

10130221312003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18007.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10130221312003 its reverse (30021312203101), we get a palindrome (40151533515104).

The spelling of 10130221312003 in words is "ten trillion, one hundred thirty billion, two hundred twenty-one million, three hundred twelve thousand, three".

Divisors: 1 13 19 247 541 7033 8297 9137 10279 107861 118781 133627 157643 173603 2049359 2256839 4488677 4943117 58352801 64260521 75809689 85284863 93919223 985525957 1108703219 1220949899 1440384091 18724993183 41013041749 533169542737 779247793231 10130221312003